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论文类型：期刊论文

发表时间：2015-02-01

发表刊物：MEDITERRANEAN JOURNAL OF MATHEMATICS

收录刊物：SCIE、Scopus

卷号：12

期号：1

页面范围：173-185

ISSN号：1660-5446

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.