Finsler metrics of nonzero sectional flag curvature

被引：1
|
作者：
Chen, Bin [2 ]
Zhao, Lili [1 ]
机构：
[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China
[2] Zhejiang Univ, Ctr Math Sci, Hangzhou 310027, Peoples R China
来源：
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2010年 / 28卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Finsler spaces; Sectional flag curvature; Weakly Landsberg spaces; Negative rigidity; MANIFOLDS; THEOREM;
D O I：
10.1016/j.difgeo.2009.05.004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Finsler metrics of sectional flag curvature is studied in this paper. It is proved that every weakly Landsberg space with nonzero sectional flag curvature and every closed Finsler space with negative sectional flag curvature must be Riemannian if the dimension <= 7. We also obtain some pinching results in all dimensions. (C) 2009 Elsevier B.V. All rights reserved.
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页码：33 / 39
页数：7
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