Acta mathematica scientia,Series A ›› 2010, Vol. 30 ›› Issue (4): 1000-1005.

• Articles • Previous Articles     Next Articles

Complete Hypersurfaces with Constant Mean Curvature in a Locally Symmetric Riemannian Manifold

徐州师范大学数学科学学院 江苏徐州 221011   

  • Received:2007-11-18 Revised:2009-11-25 Online:2010-07-25 Published:2010-07-25
  • Supported by:

    国家自然科学基金(10871218)和徐州师范大学自然科学基金(08XLB02)资助

Abstract:

In this paper, the complete hypersurfaces with constant mean curvature in a locally symmetric manifold are investigatesd,  a characterization of totally umbillic hypersurfaces is obtained, and the corresponding results are generalized.

Key words: Locally symmetric, Hypersurfaces, Totally umbilic

CLC Number: 

  • 53B20
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