대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제12권3호
  • /
  • Pages.685-690
  • /
  • 1997
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

KAEHLER SUBMANIFOLDS WITH RS=0 IN A COMPLEX PROJECTIVE SPACE

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

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.

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참고문헌

  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.