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Non-existance Real Hypersurfaces in a Nonflat Complex Space Form with Codazzi Type of Structure Tensor Field

김화수|임동호
한국수학교육학회|2021.02|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제28권 제1호|pp. 55-60|DOI https://doi.org/10.7468/jksmeb.2021.28.1.55

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키워드

Hopf hypersurfaceReal hypersurfaceDifferential operator of structure tensor fieldmodel spaces.
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초록

Let M be a real hypersurface in a complex space form Mn(c), c ̸= 0. In this paper we prove that if the structure tensor field is Codazzi type, then M is a Hopf hypersurface. We characterize such Hopf hypersurfaces of Mn(c).

Abstract

Let M be a real hypersurface in a complex space form Mn(c), c ̸= 0. In this paper we prove that if the structure tensor field is Codazzi type, then M is a Hopf hypersurface. We characterize such Hopf hypersurfaces of Mn(c).

참고문헌 (10)

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  8. M. Okumura, "On some real hypersurfaces of a complex projective space", Trans. Amer. Math. Soc., 212, pp.355~364 (1975)
  9. M. Kimura, "On real hypersurfaces of a complex projective space", Math. Z., 202, pp.299~311 (1989)
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관련 논문AI추천

Real Hypersurfaces in a Nonflat Complex Space Form with Special Structure Tensor Field김훈주, 임동호한국수학교육학회 · 이론수학과 교직수학2021 · 제28권 제3호Certain Characterization of Real Hypersurfaces of type A in a Nonflat Complex Space Form기우항경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2021 · 제61권 제1호CHARACTERIZATIONS OF REAL HYPERSURFACES OF TYPE A IN A COMPLEX SPACE FORM기우항, 김인배, 임동호대한수학회 · 대한수학회보2010 · 제47권 제1호Structure Jacobi Operators and Real Hypersurfaces of Type(A) in Complex Space Forms기우항영남수학회 · East Asian Mathematical Journal2021 · 제37권 제1호Characterizations for Real Hypersurfaces in Complex and Quaternionic Space Forms Related to the Normal Jacobi Operator김경남, 김규종, 정임순경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2016 · 제56권 제3호A new characterization of type $(A)$ and ruled real hypersurfaces in nonflat complex space formsYaning Wang대한수학회 · 대한수학회보2022 · 제59권 제4호

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