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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)

  1. "it Real hypersurfaces in quaternionic space forms", pp.9~ (1991)
  2. "{\it Real hyperspheres of type A in quaternionicprojective space}", 20, pp.115~ (1997)
  3. "{\it Minimal CR submanifolds of a complex projective space with parallel section in the normal bundle}", 12, pp.665~678 (1997)
  4. "{\it Real minimal hypersurfaces in a complex projective space}", pp.285~ (1980)
  5. "{\it QR-submanifolds of $ $ QR-dimension in quaternionic projective space$QP^{", 86, pp.89~1 (2000)
  6. "{\it Rigidity theorems in rank-1 symmetric spaces}", pp.349~ (1970)
  7. "{\it Real hypersurfaces in quaternionic projective space}", pp.355~ (1986)
  8. "{\it Compact real hypersurfaces of a complex projective space}", pp.595~ (1977)
  9. "{\it Real hypersurfaces in quaternionic Kaehlerian manifolds with constant Q-sectional curvature}", pp.22~ (1977)
  10. "{\it On homogeneous real hypersurfaces in acomplex projective space}", pp.495~ (1973)
  11. "{\it Structures on manifolds}", pp.369~, World Scientific Publishing Co. Ltd.

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