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On a Kaehler Hypersurface with the Cyclic Ricci Semi-symmetric Tensor

On a Kaehler Hypersurface with the Cyclic Ricci Semi-symmetric Tensor
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摘要 The purpose of the present paper is to prove that a Kaehler hypersurface with the cyclic Ricci semi-symmetric tensor is locally symmetric. The purpose of the present paper is to prove that a Kaehler hypersurface with the cyclic Ricci semi-symmetric tensor is locally symmetric.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2009年第10期1591-1594,共4页 数学学报(英文版)
基金 Supported by Chuo University as the '08 Research Projects for Promotion of Advanced Research at Graduate School
关键词 Kaehler hypersurfaces cyclic Ricci semi-symmetric tensor locally symmetric Kaehler hypersurfaces, cyclic Ricci semi-symmetric tensor, locally symmetric
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参考文献6

  • 1Ryan, P. J.: A class of complex hypersurfaces. Colloq. Math., 26, 177-182 (1972).
  • 2Kobayashi, S., Nomizu, K.: Foundations of Differential Geometry, Vol. Ⅱ, Interscience Tracts, John Wiley and Sons, New York, 1963.
  • 3Nomizu, K., Smyth, B.: Differential geometry of complex hypersurfaces Ⅱ. J. Math. Soc. Japan, 20, 498-521 (1968).
  • 4Smyth, B.: Differential geometry of complex hypersurfaces. Ann. Math., 85, 246-266 (1967).
  • 5Matsuyama, Y.: Minimal submanifolds in SN and ~N. Math. Z., 175, 275-282 (1980).
  • 6Wakakuwa, H.: Non existence of irreducible birecurrent Riemannian manifold of dimension ≥ 3. J. Math. Soc. Japan, 33, 23-29 (1981).

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