Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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KAEHLER SUBMANIFOLDS WITH RS=0 IN A COMPLEX PROJECTIVE SPACE

  • Hyun, Jong-Ik (Department of athematics Education Cheju National University of Education)
  • Published : 1997.07.01
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Abstract

Our study focuses on the condition under which a subspace of complex projective space can become an Einstein space. We prove that a subspace becomes an Einstein space if it's codimension is less than n-1 and its curvature tensor and Ricci tensor satisfies Ryan's condition.

Keywords

References

  1. J. Math. Soc. Japan v.28 On some complex submanifolds in Kaehler manifolds Kon, M.
  2. J. Math. Soc. Japan v.28 On locally symmetric Kaehler submanifolds in a complex projectives space Nakagawa, H.;Takagi, R.
  3. Colloq. Math. v.26 A class of complex hypersurfaces Ryan, P. J.
  4. Tohoku Math. J. v.25 Complex hypersurfaces with RS = 0 in $C^{n+1}$ Takahashi, T.