不定Kaehler流形的完全脐斜类光子流形

Pub Date : 2017-01-01 DOI:10.5666/KMJ.2017.57.3.503

R. Sachdeva, Rakesh Kumar, S. S. Bhatia

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引用次数: 0

摘要

本文研究了不定Kaehler流形的完全脐斜轻形子流形。证明了在不定Kaehler流形中不存在除完全测地线固有倾斜类光子流形外的完全脐型固有倾斜类光子流形。我们还证明了不确定Kaehler空间形式的完全脐型固有斜类光子流形不存在。最后，给出了最小斜类光子流形的一个表征定理。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Totally Umbilical Slant Lightlike Submanifolds of Indefinite Kaehler Manifolds

In this paper, we study totally umbilical slant lightlike submanifolds of indefinite Kaehler manifolds. We prove that there do not exist totally umbilical proper slant lightlike submanifolds in indefinite Kaehler manifolds other than totally geodesic proper slant lightlike submanifolds. We also prove that there do not exist totally umbilical proper slant lightlike submanifolds of indefinite Kaehler space forms. Finally, we give a characterization theorem on minimal slant lightlike submanifolds.

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