Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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Totally complex sumbanifolds in CaP^2

  • Liu, Ximin (Department of Applied Mathematics, Dalian University of Technology)
  • Published : 1998.02.01
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Abstract

In the present paper, some pinching theorems for the curvatures of the totally complex submanifolds of the Cayley projective plane $CaP^2$ are obtained.

Keywords

References

  1. Manifolds all of whose geodesics are closed A. L. Besse
  2. Riemannian manifolds with holonomy group Spin(9) R. Brown and A. Gray
  3. Kodai Math. J. v.12 Submanifolds of quaternion projective space with bounded second fundamental form P. Coulton;H. Gauchman
  4. Geom. Dedi. v.33 Glazebrook, Submanifolds of Cayley projective plane with bounded second fundamental form P. Coulton;J. Glazebrook
  5. Glasgow Math. J. v.40 Totally complex submanifolds of the Cayley projective plane Liu Ximin
  6. Proc. Amer. Math. Soc. v.93 Positively curved Kaehler submanifolds A. Ros
  7. Annals of Math. v.121 A characterization of seven compact Kaehler submanifolds by holomor-phic pinching A. Ros
  8. Osaka J. Math. v.22 Parallel submanifolds in a quaternion projective space K. Tsukada