金属黎曼曼体的准半斜子曼形

IF 0.8 4区综合性期刊 Q3 MULTIDISCIPLINARY SCIENCES

Proceedings of the National Academy of Sciences, India Section A: Physical Sciences Pub Date : 2023-05-10 DOI:10.1007/s40010-023-00826-y

Payel Karmakar, Arindam Bhattacharyya

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引用次数: 0

摘要

本文提出了金属黎曼流形的准半斜子流形的一般概念。我们研究了子流形的一些性质，特别是金属和金色黎曼流形的准半斜子流形。我们得到了在金属流形和黄金黎曼流形中子流形准半斜的一些必要条件和充分条件，还得到了分布的可积分性条件。最后，我们构建了一个金属黎曼流形准半斜子流形的实例。

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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Quasi Hemi-Slant Submanifolds of Metallic Riemannian Manifolds

In this paper, we present the general notion of quasi hemi-slant submanifolds of metallic Riemannian manifolds. We study some properties of submanifolds, specially quasi hemi-slant submanifolds of metallic and golden Riemannian manifolds. We obtain some necessary and sufficient conditions for submanifolds to be quasi hemi-slant in metallic and golden Riemannian manifolds and also obtain integrability conditions for the distributions. At last, we construct an example of a quasi hemi-slant submanifold of a metallic Riemannian manifold.

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来源期刊

Proceedings of the National Academy of Sciences, India Section A: Physical Sciences 综合性期刊-综合性期刊

CiteScore

2.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： To promote research in all the branches of Science & Technology; and disseminate the knowledge and advancements in Science & Technology