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A global rigidity theorem for weakly Landsberg manifolds
引用本文:Bing-ye WU Department of Mathematics,Minjiang University,Fuzhou 350108,China. A global rigidity theorem for weakly Landsberg manifolds[J]. 中国科学A辑(英文版), 2007, 50(5): 609-614. DOI: 10.1007/s11425-007-0031-6
作者姓名:Bing-ye WU Department of Mathematics  Minjiang University  Fuzhou 350108  China
作者单位:Bing-ye WU Department of Mathematics,Minjiang University,Fuzhou 350108,China
基金项目:国家自然科学基金;福建省自然科学基金
摘    要:In this paper we study a global rigidity property for weakly Landsberg manifolds and prove that a closed weakly Landsberg manifold with the negative flag curvature must be Riemannian.

收稿时间:2006-11-30
修稿时间:2006-12-30

A global rigidity theorem for weakly Landsberg manifolds
Bing-ye Wu. A global rigidity theorem for weakly Landsberg manifolds[J]. Science in China(Mathematics), 2007, 50(5): 609-614. DOI: 10.1007/s11425-007-0031-6
Authors:Bing-ye Wu
Affiliation:Department of Mathematics, Minjiang University, Fuzhou 350108, China
Abstract:In this paper we study a global rigidity property for weakly Landsberg manifolds and prove that a closed weakly Landsberg manifold with the negative flag curvature must be Riemannian.
Keywords:geodesic differentiation  flag curvature  mean Cartan torsion  weakly Landsberg manifold
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