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Title
Structure Jacobi Operators of Real Hypersurfaces with Constant Mean Curvature in a Complex Space Form.
Authors
TAE YONG HWANG; U-HANG KI; HIROYUKI KURIHARA
Abstract
Let M be a real hypersurface with constant mean curvature in a complex space form Mn(c),c≠0. In this paper, we prove that if the structure Jacobi operator Rξ = R(·,ξ)ξ with respect to the structure vector field ξ is ξξξξ-parallel and Rξ commute with the structure tensor field ϕ, then M is a homogeneous real hypersurface of Type A.