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

页码：173 / 185

页数：13

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