대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제48권3호
  • /
  • Pages.585-600
  • /
  • 2011
  • /
  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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SCALAR CURVATURE OF CONTACT THREE CR-SUBMANIFOLDS IN A UNIT (4m + 3)-SPHERE

  • Kim, Hyang-Sook (Department of Computational Mathematics School of Computer Aided Science Institute of Basic Science Inje University) ;
  • Pak, Jin-Suk (Graduate School of Education Daegu University)
  • 투고 : 2009.09.29
  • 발행 : 2011.05.31
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초록

In this paper we derive an integral formula on an (n + 3)-dimensional, compact, minimal contact three CR-submanifold M of (p-1) contact three CR-dimension immersed in a unit (4m+3)-sphere $S^{4m+3}$. Using this integral formula, we give a sufficient condition concerning the scalar curvature of M in order that such a submanifold M is to be a generalized Clifford torus.

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참고문헌

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