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arXiv 1504.03271math.DG
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关于弯曲积超广义回归流形

On Warped Product Super Generalized Recurrent Manifolds

Absos Ali Shaikh, Haradhan Kundu, Md. Showkat Ali

摘要:

本文的目的是得到具有一类特殊的类递归结构(称为超广义递归结构)的翘积半黎曼流形的特征。作为这个结果的推论,我们还得到了翘积流形满足弱广义递归流形、超广义递归流形等其他类递归结构的充要条件.最后,作为主要结果的支持,我们给出了翘积超广义递归流形的一个例子.

英文摘要:

The object of the present paper is to obtain the characterization of a warped product semi-Riemannian manifold with a special type of recurrent like structure, called super generalized recurrent. As consequence of this result we also find out the necessary and sufficient conditions for a warped product manifold to satisfy some other recurrent like structures such as weakly generalized recurrent manifold, hyper generalized recurrent manifold etc. Finally as a support of the main result, we present an example of warped product super generalized recurrent manifold.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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