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Mo, Xiaohuan; Zhou, Linfeng. A Class of Finsler Metrics with Bounded Cartan Torsion. Canadian mathematical bulletin, Tome 53 (2010) no. 1, pp. 122-132. doi: 10.4153/CMB-2010-026-8
@article{10_4153_CMB_2010_026_8,
author = {Mo, Xiaohuan and Zhou, Linfeng},
title = {A {Class} of {Finsler} {Metrics} with {Bounded} {Cartan} {Torsion}},
journal = {Canadian mathematical bulletin},
pages = {122--132},
year = {2010},
volume = {53},
number = {1},
doi = {10.4153/CMB-2010-026-8},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-026-8/}
}
TY - JOUR AU - Mo, Xiaohuan AU - Zhou, Linfeng TI - A Class of Finsler Metrics with Bounded Cartan Torsion JO - Canadian mathematical bulletin PY - 2010 SP - 122 EP - 132 VL - 53 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-026-8/ DO - 10.4153/CMB-2010-026-8 ID - 10_4153_CMB_2010_026_8 ER -
[1] [1] Bao, D. and Chern, S. S., A note on the Gauss-Bonnet theorem for Finsler spaces. Ann. Math. 143(1996), no. 2, 233–252. doi:10.2307/2118643 Google Scholar
[2] [2] Bao, D., Chern, S. S., and Shen, Z., An Introduction to Riemann-Finsler Geometry. Graduate Texts inh Mathematics 200, Springer-Verlag, New York, 2000. Google Scholar
[3] [3] Bao, D., Robles, C., and Shen, Z., Zermelo navigation on Riemannian manifolds. J. Differential Geom. 66(2004), no. 3, 377–435. Google Scholar
[4] [4] Burago, D. and Ivanov, S., Isometric embeddings of Finsler manifolds. Algebra i Analiz 5(1993), no. 1, 179–192 (in Russian); translation in St.Petersburg Math. J. (1994), no. 1, 159–169. Google Scholar
[5] [5] Cartan, E., Les espaces de Finsler. Actualités Scientifiques et Industrielles, no. 79, Hermann, Paris, 1934. Google Scholar
[6] [6] Chern, S. S. and Shen, Z., Riemann-Finsler Geometry. Nankai Tracts in Mathematics 6, World Scientific, Hackensack, NJ, 2005. Google Scholar
[7] [7] Deicke, A., Über die Finsler-Räume mit A = 0, Arch. Math. 4(1953), 45–51. doi:10.1007/BF01899750 Google Scholar
[8] [8] Finsler, P., Über Kurven und Flächen in allgemeinen Räumen. Verlag Birkhäuser, Basel, 1951. Google Scholar
[9] [9] Ernic, K., A Guide to Maple. Springer, 1999. Google Scholar
[10] [10] Mo, X. and Yang, C., The explicit construction of Finsler metrics with special curvature properties. Differential. Geom. Appl. 24(2006), no. 2, 119–129. doi:10.1016/j.difgeo.2005.08.004 Google Scholar
[11] [11] Nash, J., The immedding problem for Riemannian manifolds. Ann. of Math. 63(1956), 20–63. doi:10.2307/1969989 Google Scholar
[12] [12] Shen, Z., Differential Geometry of Spray and Finsler Spaces. Kluwer Academic Publishers, Dordrecht, 2001. Google Scholar
[13] [13] Shen, Z., Finsler metrics with K = 0 and S = 0 . Canad. J. Math. 55(2003), no. 1, 112–132. Google Scholar
[14] [14] Shen, Z., On R-quadratic Finsler spaces. Publ. Math. Debrecen 58(2001), no. 1–2, 263–274. Google Scholar
[15] [15] Shen, Z., On Finsler geometry of submanifolds. Math. Ann. 311(1998), no. 3, 549–576. doi:10.1007/s002080050200 Google Scholar
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