三维α-余辛流形的临界点方程

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

A. Blaga, C. Dey

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引用次数: 2

摘要

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

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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