Hou, Zhong Hua
Professor Supervisor of Doctorate Candidates Supervisor of Master's Candidates
Gender:Male
Alma Mater:日本东京工业大学
Degree:Doctoral Degree
School/Department:数学科学学院
Discipline:Pure Mathematics
E-Mail:zhonghua@dlut.edu.cn
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Indexed by:期刊论文
Date of Publication:2015-02-01
Journal:MEDITERRANEAN JOURNAL OF MATHEMATICS
Included Journals:SCIE、Scopus
Volume:12
Issue:1
Page Number:173-185
ISSN No.:1660-5446
Abstract: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.
