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The Ricci tensor of real hypersurfaces in complex two-plane Grassmannians

서영진|Juan de Dios P\'erez
대한수학회 (The Korean Mathematical Society)|2007.01|대한수학회지 (Journal of the KMS)|제44권 제1호|pp. 211-235

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Abstract

In this paper, rst we introduce the ful expresion of thecurvature tensor of a real hypersurfaceM in complex two-plane Gras-manians G2(Cm +2 ) from the quation of Gaus and erive a new formulafor the Rici tensor of M in G2(Cm +2 ). Next we prove that here do notexist any Hopf real hypersurfaces in complex two-plane GrassmaniansG2(Cm +2 ) with paralel and comuting Rici tensor. Finaly we showthat here do not exist any Einstein Hopf hypersurfaces in G2(Cm +2 ).

참고문헌 (10)

  1. "Riemanian geometry of complex two-plane Grasmanians" (1983), Rend. Sem.Mat. Univ. Politec. Torino5
  2. "Real hypersurfaces in complex two-plane Grasmanians", pp.114~
  3. "Real hypersurfaces with isometric Reb ow in complex two-plane Grasman-nians", pp.8798~
  4. "Focal sets and real hypersurfaces in complex projective space", pp.48149~ (1982)
  5. "On real hypersurfaces of a complex space form", 32, pp.20721~
  6. "Real hypersurfaces of a complex projective space" (1986)
  7. "Some real hypersurfaces in complex projective space", pp.334~
  8. "On the Rici tensor of real hypersurfaces of quaternionic pr ojective space"
  9. "Real hypersurfaces of quaternionic projective space satisfying. Ui R = 0", pp.21217~
  10. Real hypersurfaces in complex two-plane Grasmanians with vanishing Liederivatives Real hypersurfaces of typeB in complex two-plane Grasmanians, , 337~355

관련 논문AI추천

Real hypersurfaces in complex two-plane Grassmannians with parallel shape operator IIYoung Jin Suh대한수학회 · 대한수학회지2004 · 제41권 제3호Real Hypersurfaces of a Quaternionic Projective Space in Terms of Ricci Tensor최영우, Eunkyung Choe한국수학교육학회 · 이론수학과 교직수학2004 · 제11권 제3호Characterizations of real hypersurfaces of complex space forms in terms of Ricci operators손운하대한수학회 · 대한수학회보2007 · 제44권 제1호On 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 commuting structure Jacobi operator서영진, 양해영대한수학회 · 대한수학회보2008 · 제45권 제3호Ricci curvature of submanifolds in a quaternion projective spaceDai Wanji, Liu Ximin대한수학회 · 대한수학회논문집2002 · 제17권 제4호

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