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Real hypersurfaces in complex two-plane Grassmannians with parallel shape operator II

Young Jin Suh
대한수학회 (The Korean Mathematical Society)|2004.05|대한수학회지 (Journal of the KMS)|제41권 제3호|pp. 535-565

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Abstract

In this paper we consider the notion of ξ-invariant or D⊥-invariant real hypersurfaces in a complex two-plane Grassmannian G2(Cm+2) and prove that there do not exist such kinds of real hypersurfaces in G2(Cm+2) with parallel second fundamental tensor on a distribution F defined by F = ξ ∪ D⊥, where D⊥ = Span {ξ1, ξ2, ξ3}.

참고문헌 (12)

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  3. "Riemannian geometry of complex two-plane Grassmannians", pp.1983~ (1997)
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  5. "Isometric ows on real hypersurfaces in complex two-plane Grassman-nians", 137, pp.87~98 (2002)
  6. "Focal sets and real hypersurfaces in complex projec-tive space", 269 (1982)
  7. "Real hypersurfaces and complex submanifolds in complex projectivespace", 296 (1986)
  8. "On real hypersurfaces of a complex projective space II", 15 (1991)
  9. "Real hypersurfaces of quaternionic projective space satisfying ∇UiA=0", 49 (1994)
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  11. Y. J. Suh, "Real hypersurfaces in complex two-plane Grassmannians with parallelshape operator", 67, pp.493~502 (2003)
  12. "Real hypersurfaces in complex two-plane Grassmannians with commutingshape operator", 68, pp.379~393 (2003)

관련 논문AI추천

The Ricci tensor of real hypersurfaces in complex two-plane Grassmannians서영진, Juan de Dios P\'erez대한수학회 · 대한수학회지2007 · 제44권 제1호Real hypersurfaces in complex two-plane Grassmannians with commuting structure Jacobi operator서영진, 양해영대한수학회 · 대한수학회보2008 · 제45권 제3호On characterizations of real hypersurfaces with $\eta$-parallel Ricci operators in a complex space form김인배, 박혜정, 손운하대한수학회 · 대한수학회보2006 · 제43권 제2호Real Hypersurfaces in Complex Two-plane Grassmannians with F-parallel Normal Jacobi Operator서영진, 정임순경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2011 · 제51권 제4호Recurrent Jacobi operator of real hypersurfaces in complex two-plane Grassmannians정임순, Juan de Dios Perez, Young Jin Suh대한수학회 · 대한수학회보2013 · 제50권 제2호Hopf hypersurfaces in complex two-plane Grassmannians with Lie parallel normal Jacobi operator서영진, 이현진, 정임순대한수학회 · 대한수학회보2011 · 제48권 제2호

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