JACOBI FIELDS ON THE MANIFOLD OF FREUND

被引：0
|
作者：
Arif, Muhammad Shoaib [1 ]
Zhang Er-chuan [1 ]
Sun Hua-fei [1 ]
机构：
[1] Beijing Inst Technol, Sch Math, Beijing 100081, Peoples R China
来源：
ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2015年 / 34期
关键词：
Freund manifold; Riemannian metric; alpha-connection; alpha-curvature tensor; Jacobi field;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, the geometric structures of Freund manifold are considered By defining a Riemannian metric, the curvature tensor and the scalar curvature are given. Then, the Jacobi fields on the Freund manifold have been considered to investigate the instability of the geodesics in view of differential geometry. Moreover, we take submanifold of Freund manifold as an example to illustrate our results.
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页码：181 / 188
页数：8
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