Jacobi operators along the structure flow on real hypersurfaces in a nonflat complex space form
نویسنده
چکیده
Let M be a real hypersurface of a complex space form with almost contact metric structure (φ, ξ, η, g). In this paper, we study real hypersurfaces in a complex space form whose structure Jacobi operator Rξ = R(·, ξ)ξ is ξ-parallel. In particular, we prove that the condition ∇ξRξ = 0 characterizes the homogeneous real hypersurfaces of type A in a complex projective space or a complex hyperbolic space when RξφS = SφRξ holds on M , where S denotes the Ricci tensor of type (1,1) on M .
منابع مشابه
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