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Structure Eigenvectors of the Ricci Tensor in a Real Hypersurface of a Complex Projective Space

U-Hang Ki|Chunji Li
경북대학교 자연과학대학 수학과|2006.12|Kyungpook Mathematical Journal|제46권 제4호|pp. 463-476

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Abstract

It is known that there are no real hypersurfaces with parallel Ricci tensor ina nonat complex space form ([6], [9]). In this paper we investigate real hypersurfacesin a complex projective space Pn C using some conditions of the Ricci tensorS which areweaker than r S = 0 :We characterize Hopf hypersurfaces ofPn C.

참고문헌 (15)

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관련 논문AI추천

Real Hypersurfaces of a Quaternionic Projective Space in Terms of Ricci Tensor최영우, Eunkyung Choe한국수학교육학회 · 이론수학과 교직수학2004 · 제11권 제3호Real hypersurfaces of the Jacobi operator with respect to the structure vector field in a complex space form안성수대한수학회 · 대한수학회보2005 · 제42권 제2호The Ricci tensor of real hypersurfaces in complex two-plane Grassmannians서영진, Juan de Dios P\'erez대한수학회 · 대한수학회지2007 · 제44권 제1호The structure Jacobi Operator on real hypersurfaces in a nonflat complex space form기우항, 김수진, 이성백대한수학회 · 대한수학회보2005 · 제42권 제2호Real hypersurfaces in complex spaceforms with xi-parallel Ricci tensor and structure JacobioperatorU-Hang KiJuan De Dios P'erezFlorentino G. SantosY대한수학회 · 대한수학회지2007 · 제44권 제2호Real Hypersurfaces in Complex Projective Space Whose Structure Jacobi Operator Is Cyclic-Ryan ParallelFlorentino Garcia Santos, Juan de Dios Perez경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2009 · 제49권 제2호

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