The Critical Point Equation on 3-dimensional α-cosymplectic Manifolds

IF 0.6 Q3 MATHEMATICS

Kyungpook Mathematical Journal Pub Date : 2020-03-31 DOI:10.5666/KMJ.2020.60.1.177

A. Blaga, C. Dey

引用次数: 2

Abstract

The object of the present paper is to study the critical point equation (CPE) on 3-dimensional α-cosymplectic manifolds. We prove that if a 3-dimensional connected αcosymplectic manifold satisfies the Miao-Tam critical point equation, then the manifold is of constant sectional curvature −α, provided Dλ 6= (ξλ)ξ. We also give several interesting corollaries of the main result.

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三维α-余辛流形的临界点方程

本文的目的是研究三维α-辛流形上的临界点方程。我们证明了如果一个三维连通的α共辛流形满足Mio-Tam临界点方程，则该流形具有常截面曲率-α，条件是Dλ6=（ξλ）ξ。我们还给出了主要结果的几个有趣的推论。

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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来源期刊

Kyungpook Mathematical Journal MATHEMATICS-

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： Kyungpook Mathematical Journal is an international journal devoted to significant research concerning all aspects of mathematics. The journal has a preference for papers having a broad interest. One volume of the journal is published every year. Each volume until volume 42 consisted of two issues; however, starting from volume 43(2003), each volume consists of four issues. Authors should strive for expository clarity and good literary style. Manuscripts should be prepared as follows. The first page must consist of a short descriptive title, followed by the name(s) and address(es) of the author(s) along with an electronic address if available.