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Certain Characterization of Real Hypersurfaces of type A in a Nonflat Complex Space Form

기우항
경북대학교 자연과학대학 수학과|2021.03|Kyungpook Mathematical Journal|제61권 제1호|pp. 181-190

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참고문헌

키워드

Ricci tensorstructure Jacobi operatorHopf hypersurfacereal hypersurface
주제분류수학

초록

Let M be a real hypersurface with almost contact metric structure (φ, ξ, η, g) in a nonflat complex space form Mn(c). We denote S and Rξ by the Ricci tensor of M and by the structure Jacobi operator with respect to the vector field ξ respectively. In this paper, we prove that M is a Hopf hypersurface of type A in Mn(c) if it satisfies Rξφ = φRξ and at the same time Rξ(Sφ − φS) = 0.

Abstract

Let M be a real hypersurface with almost contact metric structure (φ, ξ, η, g) in a nonflat complex space form Mn(c). We denote S and Rξ by the Ricci tensor of M and by the structure Jacobi operator with respect to the vector field ξ respectively. In this paper, we prove that M is a Hopf hypersurface of type A in Mn(c) if it satisfies Rξφ = φRξ and at the same time Rξ(Sφ − φS) = 0.

참고문헌 (15)

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관련 논문AI추천

Structure Jacobi Operators and Real Hypersurfaces of Type(A) in Complex Space Forms기우항영남수학회 · East Asian Mathematical Journal2021 · 제37권 제1호CHARACTERIZATIONS OF REAL HYPERSURFACES OF TYPE A IN A COMPLEX SPACE FORM기우항, 김인배, 임동호대한수학회 · 대한수학회보2010 · 제47권 제1호Real Hypersurfaces in a Nonflat Complex Space Form with Special Structure Tensor Field김훈주, 임동호한국수학교육학회 · 이론수학과 교직수학2021 · 제28권 제3호Jacobi Operators with Respect to the Reeb Vector Fields on Real Hypersurfaces in a Non at Complex Space FormHiroyuki Kurihara, Soo Jin Kim, U-Hang Ki경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2016 · 제56권 제2호Structure Jacobi Operator of Semi-invarinat Submanifolds in Complex Space Forms기우항, 김수진영남수학회 · East Asian Mathematical Journal2020 · 제36권 제3호Structure Jacobi Operators of Real Hypersurfaces with Constant Mean Curvature in a Complex Space FormHiroyuki Kurihara, Tae Yong Hwang, U-Hang Ki경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2016 · 제56권 제4호

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