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Jacobi Operators with Respect to the Reeb Vector Fields on Real Hypersurfaces in a Nonflat Complex Space Form
Let M be a real hypersurface of a complex space form with almost contact metric structure (ϕ, ξ, η, g).In this paper, we prove that if the structure Jacobi operator R ξ = R(•, ξ)ξ is ϕ∇ ξ ξ-parallel and R ξ commute with the structure tensor ϕ, then M …