A study of statistical submersions

IF 0.7 Q2 MATHEMATICS
A. Siddiqui, K. Ahmad
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引用次数: 0

Abstract

In the sixties, A. Gray \cite{Gr} and B. O'Neill \cite{O1} come with the notion of Riemannian submersions as a tool to study the geometry of a Riemannian manifold with an additional structure in terms of the fibers and the base space. Riemannian submersions have long been an effective tool to construct Riemannian manifolds with positive or nonnegative sectional curvature in Riemannian geometry and compare certain manifolds within differential geometry. In particular, many examples of Einstein manifolds can be constructed by using such submersions. It is very well known that Riemannian submersions have applications in physics, for example Kaluza-Klein theory, Yang-Mills theory, supergravity and superstring theories.
统计淹没的研究
在60年代,a . Gray \cite{Gr}和B. O'Neill \cite{O1}提出了黎曼淹没的概念,作为研究黎曼流形几何的工具,黎曼流形具有纤维和基空间方面的附加结构。黎曼淹没一直是构造黎曼几何中具有正或非负截面曲率的黎曼流形和比较微分几何中某些流形的有效工具。特别是,许多爱因斯坦流形的例子可以通过使用这种浸入来构造。众所周知,黎曼淹没在物理学中有应用,例如Kaluza-Klein理论、Yang-Mills理论、超重力和超弦理论。
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来源期刊
CiteScore
1.50
自引率
0.00%
发文量
11
期刊介绍: To promote research interactions between local and overseas researchers, the Department has been publishing an international mathematics journal, the Tamkang Journal of Mathematics. The journal started as a biannual journal in 1970 and is devoted to high-quality original research papers in pure and applied mathematics. In 1985 it has become a quarterly journal. The four issues are out for distribution at the end of March, June, September and December. The articles published in Tamkang Journal of Mathematics cover diverse mathematical disciplines. Submission of papers comes from all over the world. All articles are subjected to peer review from an international pool of referees.
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