Rigidity Theorem of Hypersurfaces with Constant Scalar Curvature in a Unit Sphere

Authors
Wei, Guo Xin
Citation
Wei, Guo Xin, Rigidity Theorem of Hypersurfaces with Constant Scalar Curvature in a Unit Sphere, Acta mathematica Sinica. English series (Print) , 23(6), 2007, pp. 1075-1082
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
23
Issue
6
Year of publication
2007
Pages
1075 - 1082
Database
ACNP
SICI code
Abstract
In this paper, we give a characterization of tori S1(nr+2.nnr.......).Sn.1(n.2nr....) and Sm(mn...).Sn.m(n.mn.....). Our result extends the result due to Li (1996) on the condition that M is an n-dimensional complete hypersurface in S n+1 with two distinct principal curvatures