Proper biharmonic submanifolds in a sphere

Authors
Wang, Xian Feng
Citation
Wang, Xian Feng, Proper biharmonic submanifolds in a sphere, Acta mathematica Sinica. English series (Print) , 28(1), 2012, pp. 205-218
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
28
Issue
1
Year of publication
2012
Pages
205 - 218
Database
ACNP
SICI code
Abstract
In this paper, we obtain a constraint of the mean curvature for proper biharmonic submanifolds in a sphere. We give some characterizations of some proper biharmonic submanifolds with parallel mean curvature vector in a sphere. We also construct some new examples of proper biharmonic submanifolds in a sphere.