Complete Hypersurfaces with Constant Scalar Curvature in a Special Kind of Locally Symmetric Manifold

Complete Hypersurfaces with Constant Scalar Curvature in a Special Kind of Locally Symmetric Manifold

Year:    2012

Analysis in Theory and Applications, Vol. 28 (2012), Iss. 2 : pp. 189–200

Abstract

In this paper, we investigate $n$-dimensional complete and orientable hypersurfaces $M^n$ $(n \geq3)$ with constant normalized scalar curvature in a locally symmetric manifold. Two rigidity theorems are obtained for these hypersurfaces.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.3969/j.issn.1672-4070.2012.02.009

Analysis in Theory and Applications, Vol. 28 (2012), Iss. 2 : pp. 189–200

Published online:    2012-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords:    hypersurfaces scalar curvture locally symmetric manifold.