Completeness and incompleteness of the Binet–Legendre metric
暂无分享,去创建一个
[1] Marc Troyanov,et al. Handbook of Hilbert Geometry , 2014 .
[2] Csaba Vincze. Average methods and their applications in Differential Geometry I , 2013, 1309.0827.
[3] Y. Benoist,et al. Cubic differentials and finite volume convex projective surfaces , 2013 .
[4] T. Aikou. Averaged Riemannian metrics and connections with application to locally conformal Berwald manifolds , 2012 .
[5] M. Troyanov,et al. The Binet-Legendre Metric in Finsler Geometry , 2011, 1104.1647.
[6] V. Matveev. Riemannian metrics having common geodesics with Berwald metrics , 2008, Publicationes Mathematicae Debrecen.
[7] V. Matveev. Riemannian metrics having the same geodesics with Berwald metrics , 2008 .
[8] J. Loftin,et al. Survey on Affine Spheres , 2008, 0809.1186.
[9] M. Troyanov,et al. Finsler Conformal Lichnerowicz-Obata conjecture , 2008, 0802.3309.
[10] Csaba Vincze. On a scale function for testing the conformality of a Finsler manifold to a Berwald manifold , 2005 .
[11] Ricardo Gallego Torrom'e. Average structures associated with a Finsler space , 2005, math/0501058.
[12] A. Papadopoulos. Metric Spaces, Convexity and Nonpositive Curvature , 2004 .
[13] D. Bao,et al. Zermelo navigation on Riemannian manifolds , 2003, math/0311233.
[14] E. Lutwak,et al. A new ellipsoid associated with convex bodies , 2000 .
[15] D. Bao,et al. An Introduction to Riemann-Finsler Geometry , 2000 .
[16] S. Yau,et al. Complete affine hypersurfaces. Part I. The completeness of affine metrics , 1986 .
[17] F. John. Extremum Problems with Inequalities as Subsidiary Conditions , 2014 .
[18] M. Crampin. On the construction of Riemannian metrics for Berwald spaces by averaging , 2014 .
[19] Xu-jia Wang,et al. Cheng and Yau’s Work on the Monge-ampère Equation and Affine Geometry , 2010 .
[20] M. Troyanov,et al. Conformal Lichnerowicz-Obata conjecture , 2008 .
[21] Csaba Vincze. A NEW PROOF OF SZAB´ O'S THEOREM ON THE RIEMANN-METRIZABILITY OF BERWALD MANIFOLDS , 2005 .
[22] Shiing-Shen Chern,et al. Riemann-Finsler geometry , 2005 .
[23] Z. Szabó. A NEW PROOF OF SZABÓ’S THEOREM ON THE RIEMANN-METRIZABILITY OF BERWALD MANIFOLDS , 2005 .
[24] A. C. Thompson,et al. Volumes on Normed and Finsler Spaces , 2004 .
[25] Alexander Barvinok,et al. A course in convexity , 2002, Graduate studies in mathematics.
[26] Arcwise Isometries,et al. A Course in Metric Geometry , 2001 .
[27] P. Centore. VOLUME FORMS IN FINSLER SPACES , 1999 .
[28] K. Ball. An Elementary Introduction to Modern Convex Geometry , 1997 .
[29] P. Planche. Structures de Finsler invariantes sur les espaces symétriques , 1995 .
[30] 野水 克己,et al. Affine differential geometry : geometry of affine immersions , 1994 .
[31] K. Nomizu. Affine Differential Geometry , 1994 .
[32] lawa Kanas,et al. Metric Spaces , 2020, An Introduction to Functional Analysis.
[33] 松本 誠. Foundations of Finsler geometry and special Finsler spaces , 1986 .
[34] Shing-Tung Yau,et al. On the regularity of the monge‐ampère equation det (∂2 u/∂xi ∂xj) = f(x, u) , 1977 .
[35] L. Nirenberg,et al. Partial Differential Equations Invariant under Conformal or Projective Transformations , 1974 .
[36] Herbert Busemann,et al. The geometry of geodesics , 1955 .
[37] H. Busemann. The geometry of Finsler spaces , 1950 .
[38] H. Busemann,et al. Intrinsic Area. , 1946, Proceedings of the National Academy of Sciences of the United States of America.