CHARACTERIZATIONS OF REAL HYPERSURFACES OF TYPE A IN A COMPLEX SPACE FORM
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Let M be a real hypersurface with almost contact metric structure (Φ, g, ξ,η) in a complex space form Mn(c), c≠0. In this paper we prove that if RξLξg = 0 holds on M, then M is a Hopf hypersurface in Mn(c), where Rξ and Lξ denote the structure Jacobi operator and the operator of the Lie derivative with respect to the structure vector field ξ respectively. We characterize such Hopf hypersurfaces of Mn(c).
Abstract
Let M be a real hypersurface with almost contact metric structure (Φ, g, ξ,η) in a complex space form Mn(c), c≠0. In this paper we prove that if RξLξg = 0 holds on M, then M is a Hopf hypersurface in Mn(c), where Rξ and Lξ denote the structure Jacobi operator and the operator of the Lie derivative with respect to the structure vector field ξ respectively. We characterize such Hopf hypersurfaces of Mn(c).
참고문헌 (8)
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