Acta mathematica scientia,Series A

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Complete Space like Submanifolds with Flat Connection of Normal Bundle in the de Sitter Space

 SHU Shi-Chang, LIU San-Yang   

  • Online:2004-08-25 Published:2004-08-25
  • Supported by:

    国家自然科学基金(69972036)、 陕西省自然科学基金(2003A02)和 陕西省教育厅自然科学基金

Abstract:

Let M be a complete n demensional space like submanifold in the de Sitter space S^(n^p)_p(c) with parallel mean curvature vector and constant scalar curvature, if the connection of normal bundle is flat and K(M)<0, or ‖σ‖

Key words: de Sitter space, Normal bundle, Space like submanifold, Second fundament tensor

CLC Number: 

  • 53C40
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