Publications of Sorin V. Sabau

Books

1. with Pitis Gh., Purcaru M., Differential Geometry, Textbook for students , Transilvania University Brasov, Romania, Faculty of Sciences, 1994.

2. with Miron R., Hrimiuc D., Shimada H., The Geometry of Hamilton and Lagrange spaces, Kluwer Acad. Publishers, FTP. 118, May 2001, MR1839409 (2002e:53111).

3. with Shimada H., 微分幾何学講義: リーマン・ フィンスラー幾何学入門: Lectures on Differential Geometry. An introduction to Riemann-Finsler Geometry, by S. S. Chern, H. W. Chen, K. S. Lam, Word Sci., 2000, 日本語訳、培風館, 2005.

4. with Shimada H., (eds.), Finsler Geometry. Sapporo 2005, Mathematical Society of Japan, ASPM, 48, 2007.

Refereed Papers in international journals

1. with Shimada H., The electromagnetic field in the Second Order Relativistic Geometrical Optics, The Memoirs of the Romanian Academy, Serie IV, tome XXI (1998), 37-52, MR1990709 (2004f:53094).
2. with Antonelli P., Maculan N., Portugal R., Rutz S., Transient-states analysis of a 2-species Dynamical Ecological model via KCC-theory, Nonlinear Studies, Vol. 8, No. 3 (2001), 283-296, MR1863948 (2003b:92029).
3. with Shimada H., Classes of Finsler spaces with (alpha, beta)-metrics, Reports Math. Phys., 47, No. 1 (2001), 31-48, MR1823007 (2001m:53037).
4. with Nemoto Y., Hashimoto S., Ihara S., A cell simulation for circadian rhythm based on Michaelis-Menten model, Journal of Biological Physics 2(3) (2002), 465-469.
5. with Antonelli P., Rutz S., A Transient-states analysis of Tyson's model for the cell division cycle, Open Systems and Information Dynamics, Vol 9, No.3 (2002), 223-238, MR1923230 (2003g:92007).
6. with Miron R., Shimada H., Finsler spaces with (mu, beta)-metric, Publicationes Mathematicae Debrecen, 62 (3-4) (2003), 547-560, MR2008112 (2004j:53097).
7. with Hasegawa I., Shimada H., Randers spaces of constant flag curvature induced by almost contact metric structures, Hokkaido Mathematical Journal, 33 (2004), 215-232, MR2034815 (2004k:53113).
8. Randers metrics on CP^2, Periodica Mathematica Hungarica 48(1-2) (2004), 25-31, MR2077683 (2005h:53127).
9. with Roman M., Shimada H., On  change of the Antonelli-Shimada ecological metric, Tensor N. S., 65 (2004), 65-73, MR2099686 (2006e:53046).
10. Systems biology and Deviation curvature tensor, Nonlinear Analysis: Real World Applications, 6 (2005), 563-587, MR2129565 (2005m:34018).
11. Some remarks on Jacobi stability, Nonlinear Analysis, 63 (5-7) (2005), e143-e153.
12. with Shimada H., Introduction to Matsumoto metric, Nonlinear Analysis, 63 (5-7) (2005), e165-e168.
13. with Ionescu-Targoviste C., Ioacara S., Lichiardopol R., Guja C., Bojin A., Apetrei E., A pathophysiological approach to metabolic syndrome using factor analysis in an adult Romanian population, Arch. Physiol. Biochem., 112 (3) (2006), 182-188, PMID: 17132544.
14. with Masca I.M., Shimada H., The L-dual of an  (alpha, beta) metric of order two, Balkan Journal of Geometry and Its Applications, 12(1) (2007), 85-99, MR2321971 (2008f:53021).
15. with Azumi K., Fujie M., Usami T., Koyanagi R., Kawashima T., Fujiwara S., Ogasawara M., Satake M., Nonaka M., Wang H.G., Satou Y., Satoh N., Gene expression profile during the life cycle of the urochordate Ciona intestinalis, Developmental Biology, 308 (2) (2007), 572-582, PMID: 17572404.
16. with Ioacara S., Ionescu-Tirgoviste C., Enachescu C., Farcasiu E., Bradescu O., Mortality trends in noninsulin-treated type 2 diabetes mellitus patients in the 1943-2000 period, Romanian Journal of Internal Medicine, 45(4) (2007), 371-377, PMID: 18767413.
17. with Azumi K., Usami T., Kamimura A., Miki Y., Fujie M., Jung S-J., Kitamura S., Suzuki S., Yokosawa H., cDNA microarray analyses reveal candidate marker genes for the detection of ascidian disease in Korea, Zoological Science, 24 (12) (2007), 1231-1240, PMID: 18271639.
18. with Ioacara S., Serafinceanu C., Ionescu-Tirgoviste C., The prospective analysis of mortality in type 2 diabetes subjects in Bucharest, Romania, Proc. Rom. Acad., Series B, 2 (2007), 141-148.
19. with Masca I.M., Shimada H., The L-dual of a Matsumoto metric, Publicationes Mathematicae Debrecen, 72 (1-2) (2008), 227-242, MR2376871 (2009c:53028).
20. with Harko T., Jacobi stability of the vacuum in the static spherically symmetric brane world models, Physical Review D, 77 (10) (2008), Article Number: 104009, MR2443556 (2009i:83110).
21. with Shimada, H., Ingarden R.S., The (alpha, beta)-metric for Finsler space and its role in thermodynamics, Bull. Soc. Sci. Lett. Lodz Ser. Rech. Deform. 57 (2008), 25-38, MR2524522 (2010c:53033).
22. with Shimada, H., Ingarden R.S., The Randers metric and its role in electrodynamics, Bull. Soc. Sci. Lett. Lodz Ser. Rech. Deform. 57 (2008), 39-49, MR2524523.
23. with Mita H., Toyota M., Aoki F., Akashi H., Maruyama R., Sasaki Y., Suzuki H., Idogawa M., Kashima L., Yanagihara K., Fujita M., Hosokawa M., Kusano M., Tatsumi H., Imai K., Shinomura Y., Tokino T., A novel method, digital genome scanning detects KRAS gene amplification in gastric cancers: involvement of overexpressed wild-type KRAS in downstream signaling and cancer cell growth, BMC Cancer, 9:198 (2009), available from: http://www.biomedcentral.com/1471-2407/9/198, PMID: 19545448.
24. with Azumi K., Ikeda Y., Takeuchi T., Nomura T., Hamada J., Okada F., Hosokawa M., Yosokawa H., Localization and characterization of gamma-glutamyl cyclotransferase in cancer cells, Molecular Medicine Reports, 2 (2009), 386-391.
25. with Ioacara S., Lichiardopol R., Ionescu-Tirgoviste C., Cheta D., Guja C., Farcasiu E., Tiu C., Improvements in life expectancy in type 1 diabetes patients in the last six decades, Diabetes Res. Clin. Pract., 86(2) (2009), 146-151, PMID: 19783316.
26. with Mita K., Koyanagi R., Azumi K., Fujiwara S., Identification of Genes Downstream of Nodal in the Ciona intestinalis Embryo, Zoological Science, 27(2) (2010), 69-75, PMID: 20141410.
27. with Shibuya K., Shimada H., On the existence of generalized unicorns on surfaces, Differential Geometry and its Applications 28(4) (2010) 406–435, doi:10.1016/j.difgeo.2009.12.001.
28. with Masca I. M., Shimada H., Reversible geodesics for (alpha, beta)-metrics, International Journal of Mathematics, Vol. 21, No. 8 (2010), 1071–1094.
29. with Itoh J., Shimada H., A Gauss-Bonnet type formula on Riemann-Finsler surfaces with non-constant indicatrix volume, Kyoto Journal of Mathematics, 50(1) (2010), 165–192.
30. with Ioacara S., Guja C., Ionescu-Tirgoviste C., Fica S., Radu S., Micu A., Tiu C., Improvements in life expectancy in adult type 2 diabetes patients in the last six decades, Diabetes Res Clin Pract. (2011 Jun); 92(3):400-4. doi: 10.1016, PMID: 21489648.
31. with R. Miron, M. Roman, Shimada H., Geometrization of the scleronomic Riemannian mechanical systems, Balkan J. Geom. Appl. 16 (2011), No. 1, 78-97.
32. with Shibuya K., Shimada H., Moving frames on generalized Finsler structures, J. Korean Math. Soc. 49 (2012), no. 6, 1229–1257.
33. with Shimada H., Finsler manifolds with reversible geodesics, Rev. Roumaine Math. Pures Appl., 57 (2012), 1, 91-103.
34. with C. G. Bohmer, Harko T., Jacobi stability analysis of dynamical systems - applications in gravity and cosmology, Adv. Theor. Math. Phys. 16 (2012), 1145-1196.
35. with Masca I. M., Shimada H., Two dimensional (alpha,beta)-metrics with reversible geodesics, Publ. Math. Debrecen, 82/2 (2013), 485-501.
36. with Shibuya K., Pitis Gh., Generalized Finsler structures on closed 3-manifolds,  Tohoku Math. Journal, vol. 66,  No 3 (2014), 321-353.
37. with Yoshikawa R., Kropina metrics and Zermelo navigation on Riemannian manifolds, Geometria Dedicata, 171 (2014), 119-148.
38. with Shibuya K., Shimada H., Metric structures associated to Finsler metrics, Publ. Math. Debrecen, 84 (2014), no. 1-2, 89-103.
39. with Yoshikawa R., Some remarks on the geometry of Kropina spaces, Publ. Math. Debrecen, 84 (2014), no. 3-4, 483-496.
40. with Shiohama K., Topology of complete Finsler manifolds admitting convex functions, 2015, Pacific Journal of Mathematics, Vol. 276 (2015), No. 2, 459--481.
41. with Hama R., Chitsakul P., The Geometry of a Randers rotational surface, 2015, Publ. Math. Debrecen, 87/3-4 (2015), 473-502.
42. with Tanaka M., The cut locus and distance function from a closed subset of a Finsler manifold, Houston Journal of Mathematics, Vol. 42, No. 4 (2016), 1157-1197.
43. with Harko T, Pantaragphong P., Kosambi-Cartan-Chern (KCC) theory for higher order dynamical systems, International Journal of Geometric Methods in Modern Physics, Vol. 13, 1650014 (2016) [24 pages].
44. with Shibuya K., A variational problem for curves on Riemann-Finsler surfaces,  Jour. Australian Math. Soc., vol 101, issue 3, December 2016, pp. 418-430.
45. with Itoh J., Riemannian and Finslerian spheres with fractal cut loci, 2013, Diff. Geom. and its Applications, Volume 49, December 2016, 43-64.
46. The co-points are cut points of level sets for Busemann functions, SIGMA 12,  (2016) 036, 12 pages.
47. with Shibuya, K., Yoshikawa R., Geodesics on strong Kropina manifolds, Diff European Journal of Mathematics (2017), 3:1172-1224.
48. with Hama R. and Jaipong K., The cut locus of a Randers rotational 2-sphere of revolution, Publ. Math. Debrecen, accepted, to appear in 2018.
49. with Boonnam, N., Hama R., Berwald spaces of bounded curvature, AMAPN, vol. 33 (2), 2017, accepted, to appear.

Preprints (under going referee)

1. with P. Chansri, K. Patrawut, The geometry of the slope metric (2 papers).
2. with K. Patrawut, On the mathematical education.

Refereed Papers appeared in Proceedings or Monographs

1. with Shimada H., Higher Order Miron-Tavakol metric, Revue Roumaine des Mathematiques Pures et Appliques, XLII (9-10) (1998), 813–822, MR1656652 (99k:53032).
2. with Miron R., Higher Order Finsler spaces and Kawaguchi spaces of order k ≥ 1, Tensor N.S., 59 (1998), 125–132, MR1859370 (2002f:53029).
3. with Shimada H., On the Prolongations of Riemannian and Finslerian structures to Osc^k M, Tensor N.S., 59 (1998), 44–53, MR1859362 (2002f:53031).
4. with Miron R., Finsler Spaces of Order k ≥ 1, Alg., Gr. and Geom., Hadronic Press, 16, No. 1 (1999), 83–90, MR1704091 (2000d:53033).
5. Higher order generalized Finsler spaces and examples, Tensor (N.S.) , 61 (2) (1999), 131–139, MR1877405 (2002j:53025).
6. with Anastasiei M, Shimada H., On the nonlinear connection of a Second Order Finsler Space, Alg., Gr. and Geom., Hadronic Press, 16, No. 1 (1999), 1–10, MR1704083 (2000d:53032).
7. Higher Order Ecological Metrics, Finslerian Geometries,(Ed. P. L. Antonelli), Kluwer Academic Publishers, FTPH no. 109 (2000), 245–261, MR1903880 (2003d:53039).
8. with Shimada H. Finsler Geometry, Finslerian Geometries, (Ed. P. L. Antonelli), Kluwer Academic Publishers, FTPH no. 109, (2000), 15–24, MR1903864 (2003d:53040).
9. On Projectively flat Finsler spheres (remarks on a theorem of R. L. Bryant), Finsler and Lagrange Geometries (Ed. M. Anastasiei and P.L. Antonelli), Kluwer Academic Publishers, (2003), 181–192, MR2009927 (2004g:53081).
10. with Shimada H., On the corrected form on an old result: Necessary and Sufficient conditions of a Randers space to be of constant curvature, Finsler and Lagrange Geometries (Ed. M. Anastasiei and P.L. Antonelli), Kluwer Academic Publishers, (2003), 193–196, MR2010569.
11. with Roman M., Shimada H., Some Perspectives in Finsler spaces with (mu, beta)-metric, Lagrange and Hamilton Geometries and their applications, (Ed. Radu Miron), Handbooks. Treatises. Monographs, Fair Partners Publishers, 49 (2004), 195–202.
12. with Kanda K., Azumi K., Satoh N., A Comparative Study of Exploratory Analysis versus Statistical Analysis for Oligo-DNA Microarrays, The 17-th International Conference on Genome Informatics 2006, P032.
13. with Pintea C. M., Improving bio-inspired metaheuristic for data clustering, Proc. BIC-TA, vol. Evolutionary Computing, 2006, p. 253-258.
14. with Shimada H., Matsumoto’s legacy. The life and work of Professor Makoto Matsumoto, Finsler Geometry. Sapporo, 2005, Mathematical Society of Japan, ASPM, (Ed. Sabau V.S., Shimada H.), 48 (2007), 7–16, MR2389250.
15. with Shimada H., Riemann–Finsler surfaces, Finsler Geometry. Sapporo, 2005, Mathematical Society of Japan, ASPM, (Ed. Sabau V.S., Shimada H.), 48 (2007), 125–162, MR2389254 (2009m:53044).
16. with Pintea C. M., Improving clustering based on ants phenotype matching, J. U. C. S., 13(7) (2007), 1076-1084.
17. with Pintea C. M., Correlations involved in a bio-inspired classification technique, Studies in Computational Intelligence, 387 (2011), 239-246.
18. On the variational Problem for Riemann-Finsler surfaces, Invited Contributions to the Seventh Congress of Romanian Mathematicians, Brasov, 2011, Advances in Mathematics, The Publishing House of Romanian Academy, Bucharest, 2013, p. 279-288.
19. with Kunihiro Y., Quasi-metrics. Geometry of sequence comparison, Proc. of Asia Symp. on Engineering and Information, ASEAI 064, Bangkok, 2013.
20. with Kunihiro Y., A geometrical perspective on the insulin evolution, WASET, Intl. Journal of Math., Comput. Science and Engineering, Vol: 7, No: 12, 2013.
21. with Hama R., Chitsakul P., Chansri P., The Möbius strip - An intuitive approach to advanced mathematics, 9th ANNUAL EDUCATION AND DEVELOPMENT CONFERENCE Proceedings, 5-7 MARCH 2014, p.153-165 , ISBN 978-86-87043-20-6.
22. with Hama R., Chitsakul P., ON THE GEOMETRY OF SOME METRIC SPACES, The 40th Congress on Science and Technology of Thailand (STT40) “Science and Technology towards ASEAN Development”, 2-4 December 2014, p. 1-9,ISBN 978-616-91224-3-2.
23. with K. Shibuya, EDS, RIMS, 2016.

Proceedings of the Finsler Geometry Symposium in Japan

1. with Shimada, H., On the canonical non-linear connection of the higher order osculator bundle,  The 31th symposium on Finsler geometry, November 6-9, 1996, Chiba.
2. with Miron, R. and Shimada, H., Abstract from the higher order Finsler spaces and examples, The 32th symposium on Finsler geometry, November 5-8, 1997, Ise.
3. Abstract on the variational problem in second order relativistic optics, The 32th symposium on Finsler geometry, November 5-8, 1997, Ise.
4. On a transformarion of Rund connection, The 33th symposium on Finsler geometry, October 22-24, 1998, Yamanaka-ko.
5. Some remarks on the Gauss-Bonnet theorem for Finsler spaces, The 34th symposium on Finsler geometry, September 17-19, 1999, Hakodate.
6. with Miron, R.,  Shimada, H., Abstract on the new lifts of generalized Lagrange metrics, The 34th symposium on Finsler geometry, September 17-19, 1999, Hakodate.
7. with Shimada, H., Some remarks on Finsler spaces with $(\alpha,\beta)$-metrics, The 34th symposium on Finsler geometry, September 17-19, 1999, Hakodate.
8. with Shimada, H., On Finsler metrics of constant positive curvature, The 35th symposium on Finsler geometry, October 24-26, 2000, Kagoshima.
9. Projectively flat Finsler metrics corresponding to quadrics in $CP^n$, The 35th symposium on Finsler geometry, October 24-26, 2000, Kagoshima.
10. with Miron, R.,  Shimada, H., Finsler spaces  with $(\mu,\beta)$-metric, The 36th symposium on Finsler geometry, October 10-13, 2001, Lake Hamana, Shizuoka.
11. with Shimada, H. and Hasegawa, I., Some remarks on Randers spaces of constant flag curvature, The 37th symposium on Finsler geometry, August 5-9, 2002, Tsukuba.
12. On the geometry of linkage disquilibium, The 37th symposium on Finsler geometry, August 5-9, 2002, Tsukuba.
13. Einstein-Randers metrics on $CP^2$, The 38th symposium on Finsler geometry, November 12-15, 2003, Ohtsu.
14. Jacobi Stability, The 39th symposium on Finsler geometry, November 10-13, 2004, Yufuku Temple, Kyoto.
15. with Shimada, H., Introduction to Matsumoto metric, The 39th symposium on Finsler geometry, November 10-13, 2004, Yufuku Temple, Kyoto.
16. with Shimada, H., On the Matsumoto spaces, The 40th symposium on Finsler geometry, September 6-10, 2005, Sapporo.
17. with Shimada, H., On the Riemannian length of the indicatrix of a Finsler surface, The 41th symposium on Finsler geometry, November 9-12, 2006, Kagoshima.
18. Paths on a Finsler manifold, The 42th symposium on Finsler geometry, November 1-4, 2007, Nagasaki.
19. On the higher order geometries, The 43th symposium on Finsler geometry, November 4-7, 2008, Utsunomiya.
20. with Miron, R.,  Shimada, H., and Roman, M., Geometrization of the Riemannian nonconservative mechanical systems, The 44th symposium on Finsler geometry, September 8-11, 2009, Sapporo.
21. Trends in modern Riemannian-Finsler geometry, The 44th symposium on Finsler geometry, September 8-11, 2009, Sapporo.
22. Gauss-Bonnet theorem for Riemannian-Finsler surfaces, The 44th symposium on Finsler geometry, September 8-11, 2009, Sapporo.
23. Remarks on the geometry of magnetic geodesics, The 45th symposium on Finsler geometry, September 5-10, 2010, Tokyo.
24. The cut locus structure for Riemann- Finsler surfaces, The 46th symposium on Finsler geometry, November 17-20, 2011, Shizuoka.
25. Remarks on the cut locus of a Finsler manifold, The 47th symposium on Finsler geometry, November 23-25, 2012, Kagoshima.
26. Weighted Quasi-Metrics and Finsler metrics, The 48th symposium on Finsler geometry, September 15-17, 2013, Sapporo.
27. Some remarks on the geometry of a Randers rotational surface of revolution, The 49th symposium on Finsler geometry, September 4-7, 2014, Nagasaki.
28. On the cut locus of Finsler manifolds,The 50-th symposium on Finsler geometry, October 21-25, 2015, Hiroshima.

Work in progress

1. with Ioacara S., On the Geometric theory of Insulin Evolution, 2015, preprint.