局域积黎曼流形的Clairaut点斜浸没

IF 0.4 Q4 MATHEMATICS
Murat Polat
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引用次数: 1

摘要

本文的目的是分析总流形为局部乘积黎曼流形的Clairaut点向倾斜浸没的一些几何特征。我们描述了从局部乘积黎曼流形到黎曼流形上的Clairaut逐点倾斜浸没。我们通过提供一个结果来研究点向倾斜浸没,该结果定义了这种类型浸没的总空间上的测地线。我们还给出了一个Clairaut点向倾斜浸没的非平凡例子,其总流形是局部乘积黎曼。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Clairaut pointwise slant submersion from locally product Riemannian manifolds
The goal of the present paper is to analyze some geometric features of Clairaut pointwise slant submersions whose total manifold is a locally product Riemannian manifold. We describe Clairaut pointwise slant submersions from locally product Riemannian manifold onto a Riemannian manifold. We study pointwise slant submersions by providing a consequent which defines the geodesics on the total space of this type submersions. We also give a non-trivial example of the Clairaut pointwise slant submersions whose total manifolds are locally product Riemannian.
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来源期刊
CiteScore
0.80
自引率
14.30%
发文量
32
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