Manifolds with commuting Jacobi operators

被引：8
|
作者：
Brozos-Vazquez, Miguel [1 ]
Gilkey, Peter [2 ]
机构：
[1] Univ Santiago Compostela, Fac Math, Dept Geometry & Topol, Santiago 15782, Spain
[2] Univ Oregon, Math Dept, Eugene, OR 97403 USA
来源：
JOURNAL OF GEOMETRY | 2007年 / 86卷 / 1-2期
关键词：
Jacobi operator; Osserman manifold; Jacobi-Tsankov manifold; constant sectional curvature;
D O I：
10.1007/s00022-006-1898-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We characterize Riemannian manifolds of constant sectional curvature in terms of commutation properties of their Jacobi operators.
引用
收藏
页码：21 / 30
页数：10
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