不定Kaehler流形的gcr -类光子流形

Pub Date : 2022-01-01 DOI:10.7546/jgsp-63-2022-21-37

V. Jain, R. Rani, Rakesh Kumar

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引用次数: 1

摘要

研究了具有四分之一对称非度量联系的不定Kaehler流形的广义Cauchy-Riemann (GCR)-类光子流形。给出了无限Kaehler流形的完全脐带gcr -轻形子流形的一个条件，该条件允许四分之一对称非度量连接是完全测地线子流形。研究了最小gcr -类光子流形，得到了gcr -类光子流形为gcr -类光积流形的表征定理。

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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On GCR-Lightlike Submanifolds of Indefinite Kaehler Manifolds

We study generalized Cauchy-Riemann (GCR)-lightlike submanifolds of indefinite Kaehler manifolds admitting a quarter-symmetric non-metric connection. We derive a condition for a totally umbilical GCR-lightlike submanifold of indefinite Kaehler manifolds admitting a quarter-symmetric non-metric connection to be a totally geodesic submanifold. We study minimal GCR-lightlike submanifolds and obtain characterization theorem for a GCR-lightlike submanifold to be a GCR-lightlike product manifold.

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