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Certain Characterization of Real Hypersurfaces of type A in a Nonflat Complex Space Form

  • Received : 2020.04.08
  • Accepted : 2020.08.18
  • Published : 2021.03.31

Abstract

Let M be a real hypersurface with almost contact metric structure (ϕ, ��, η, g) in a nonflat complex space form Mn(c). We denote S and R�� by the Ricci tensor of M and by the structure Jacobi operator with respect to the vector field �� respectively. In this paper, we prove that M is a Hopf hypersurface of type A in Mn(c) if it satisfies R��ϕ = ϕR�� and at the same time R��(Sϕ - ϕS) = 0.

Keywords

References

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