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On a compact and minimal real hypersurface in a quaternionic projective space
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Abstract
For a compact and orientable minimal real hypersurface M inQP^n, we prove that if the minimum of the sectional curvaturesof M is 3/(4n-1), then M is isometric to the geodesicminimal hypersphere M^Q_{0,n-1}.
참고문헌 (11)
- "it Real hypersurfaces in quaternionic space forms", pp.9~ (1991)
- "{\it Real hyperspheres of type A in quaternionicprojective space}", 20, pp.115~ (1997)
- "{\it Minimal CR submanifolds of a complex projective space with parallel section in the normal bundle}", 12, pp.665~678 (1997)
- "{\it Real minimal hypersurfaces in a complex projective space}", pp.285~ (1980)
- "{\it QR-submanifolds of $ $ QR-dimension in quaternionic projective space$QP^{", 86, pp.89~1 (2000)
- "{\it Rigidity theorems in rank-1 symmetric spaces}", pp.349~ (1970)
- "{\it Real hypersurfaces in quaternionic projective space}", pp.355~ (1986)
- "{\it Compact real hypersurfaces of a complex projective space}", pp.595~ (1977)
- "{\it Real hypersurfaces in quaternionic Kaehlerian manifolds with constant Q-sectional curvature}", pp.22~ (1977)
- "{\it On homogeneous real hypersurfaces in acomplex projective space}", pp.495~ (1973)
- "{\it Structures on manifolds}", pp.369~, World Scientific Publishing Co. Ltd.
관련 논문AI추천
Real Hypersurfaces of a Quaternionic Projective Space in Terms of Ricci Tensor최영우, Eunkyung Choe한국수학교육학회 · 이론수학과 교직수학2004 · 제11권 제3호Ricci curvature of submanifolds in a quaternion projective spaceDai Wanji, Liu Ximin대한수학회 · 대한수학회논문집2002 · 제17권 제4호$QR$-submanifolds of maximal $QR$-dimension in quaternionic projective space김향숙, 박진석대한수학회 · 대한수학회지2005 · 제42권 제4호Some characterizations of real hypersurfaces of type (A) in a nonflat complex space form기우항, Huili Liu대한수학회 · 대한수학회보2007 · 제44권 제1호On a Semi-invariant submanifold of codimension $3$ with constant mean curvature in a complex projective spaceSeong-Baek Lee대한수학회 · 대한수학회논문집2003 · 제18권 제1호Some curvature conditions of $n$-dimensional $QR$-submanifolds of $(p-1)$ $QR$-dimension in a quaternionic projective space QP^{(n+p)/4}박진석, 손원호대한수학회 · 대한수학회보2003 · 제40권 제4호
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