A gap theorem for hypersurfaces of the sphere with constant scalar curvature one
A gap theorem for hypersurfaces of the sphere with constant scalar curvature one
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DOI：
10.1007/s00014-002-8351-1
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发表时间：
2002-09
影响因子：
0.9
通讯作者：
H. Alencar;M. D. Carmo;W. Santos
中科院分区：
文献类型：
--
作者：
H. Alencar;M. D. Carmo;W. Santos
We consider closed hypersurfaces of the sphere with scalar curvature one, prove a gap theorem for a modified second fundamental form and determine the hypersurfaces that are at the end points of the gap. As an application we characterize the closed, two-sided index one hypersurfaces with scalar curvature one in the real projective space.
