不定Kaehler流形的完全脐斜类光子流形

IF 0.2 Q3 MATHEMATICS

Kyungpook Mathematical Journal 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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来源期刊

Kyungpook Mathematical Journal MATHEMATICS-

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： Kyungpook Mathematical Journal is an international journal devoted to significant research concerning all aspects of mathematics. The journal has a preference for papers having a broad interest. One volume of the journal is published every year. Each volume until volume 42 consisted of two issues; however, starting from volume 43(2003), each volume consists of four issues. Authors should strive for expository clarity and good literary style. Manuscripts should be prepared as follows. The first page must consist of a short descriptive title, followed by the name(s) and address(es) of the author(s) along with an electronic address if available.