具有共圆正则域的黎曼子流形

IF 0.5 4区数学 Q3 MATHEMATICS

Bulletin of the Korean Mathematical Society Pub Date : 2019-01-01 DOI:10.4134/BKMS.B181232

Bang‐Yen Chen, S. Wei

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引用次数: 4

摘要

设M是一个黎曼流形，它具有一个共圆向量场X, M是M的子流形(及其诱导度规)。用X表示X在M上的限制，用XT表示X的切向分量，称为M的正则域。本文研究了正则域XT也是共圆的M的子流形。在这方面得到了几个表征和分类结果。

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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RIEMANNIAN SUBMANIFOLDS WITH CONCIRCULAR CANONICAL FIELD

Let M̃ be a Riemannian manifold equipped with a concircular vector field X̃ and M a submanifold (with its induced metric) of M̃ . Denote by X the restriction of X̃ on M and by XT the tangential component of X, called the canonical field of M . In this article we study submanifolds of M̃ whose canonical field XT is also concircular. Several characterizations and classification results in this respect are obtained.

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来源期刊

Bulletin of the Korean Mathematical Society 数学-数学

CiteScore

0.80

自引率

20.00%

发文量

审稿时长

6 months

期刊介绍： This journal endeavors to publish significant research of broad interests in pure and applied mathematics. One volume is published each year, and each volume consists of six issues (January, March, May, July, September, November).