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  • 标题:Totally umbilical CR-submanifolds of Semi-Riemannian Kaehler manifolds
  • 本地全文:下载
  • 作者:K. L. Duggal ; R. Sharma
  • 期刊名称:International Journal of Mathematics and Mathematical Sciences
  • 印刷版ISSN:0161-1712
  • 电子版ISSN:1687-0425
  • 出版年度:1987
  • 卷号:10
  • 期号:3
  • 页码:551-555
  • DOI:10.1155/S0161171287000668
  • 出版社:Hindawi Publishing Corporation
  • 摘要:

    We study totally umbilical CR -submanifolds of a Kaehler manifold carrying a semi-Riemannian metric. It is shown that for dimension of the totally real distribution greater than one, these submanifolds are locally decomposable into a complex and a totally real submanifold of the Kaehler manifold. For dimension equal to one, we show, in particular, that they are endowed with a normal contact metric structure if and only if the second fundamental form is parallel.

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