Jacobi operators along the structure flow on real hypersurfaces in a nonflat complex space form

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dc.creatorKi, U-Hang
dc.creatorKurihara, Hiroyuki
dc.creatorTakagi, Ryoichi
dc.date2007-09-04
dc.date.accessioned2026-07-07T08:27:30Z
dc.date.available2026-07-07T08:27:30Z
dc.descriptionLet $M$ 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 $R_ξ=R(\cdot,ξ)ξ$ is $ξ$-parallel. In particular, we prove that the condition $\nabla_ξ R_ξ=0$ characterizes the homogeneous real hypersurfaces of type $A$ in a complex projective space or a complex hyperbolic space when $R_ξ ϕS=S ϕR_ξ$ holds on $M$, where $S$ denotes the Ricci tensor of type (1,1) on $M$.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/0709.0436
dc.identifierhttp://arxiv.org/abs/0709.0436
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/137294
dc.subjectDifferential Geometry
dc.subject53B20; 53C15; 53C25
dc.titleJacobi operators along the structure flow on real hypersurfaces in a nonflat complex space form
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