Normal Bundles of Surfaces in Riemannian Manifolds

被引：0
|
作者：
Sun, Lei [1 ]
Hou, Zhong-Hua [1 ]
机构：
[1] Dalian Univ Technol, Inst Math, Dalian 116024, Liaoning, Peoples R China
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2015年 / 12卷 / 01期
关键词：
GEOMETRY;
D O I：
10.1007/s00009-014-0390-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let f : S -> M (n) be an immersed surface in a Riemannian manifold M. Let NS be the normal bundle of S in M and TM be the tangent bundle of M. Let F : (NS, g (a,b) ) -> (TM, G (a,b) ) be the natural isometric immersion induced by f with g (a,b) = F (*) G (a,b) , where G (a,b) is the Cheeger-Gromoll type metric on TM. In this paper, we study the extrinsic geometric properties of NS in (TM, G (a,b) ) in terms of properties of the immersion f. In particular, the conditions of minimality and constant mean curvature are studied.
引用
收藏
页码：173 / 185
页数：13
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