The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
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REAL HYPERSURFACES IN A NONFLAT COMPLEX SPACE FORM WITH SPECIAL STRUCTURE TENSOR FIELD

  • Lim, Dong Ho (Department of Mathematics Education, Sehan University) ;
  • Kim, Hoonjoo (Department of Mathematics Education, Sehan University)
  • Received : 2021.04.07
  • Accepted : 2021.08.12
  • Published : 2021.08.31
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Abstract

Let M be a real hypersurface in a complex space form Mn(c), c ≠ 0. In this paper, we prove that if (∇Xϕ)Y + (∇Yϕ)X = 0 holds on M, then M is a Hopf hypersurface, where ϕ is the tangential projection of the complex structure of Mn(c). We characterize such Hopf hypersurfaces of Mn(c).

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Acknowledgement

This paper was supported by the Sehan University Research Fund in 2021.

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