A rigidity condition for compact gradient Einstein-type manifolds with boundary

IF 1.3 3区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Letters in Mathematical Physics Pub Date : 2025-05-20 DOI:10.1007/s11005-025-01945-w

Xiaomin Chen

引用次数: 0

Abstract

Inspired by the recent paper of Baltazar and Queiroz (J Geom Anal 34:158, 2024. https://doi.org/10.1007/s12220-024-01603-y), in this article, we prove the rigidity for compact gradient Einstein-type manifolds with nonempty boundary and constant scalar curvature under a pinching condition, which is independent on the potential function. As a special case of gradient Einstein-type manifold, we also give a rigidity result of \((m,\rho )\)-quasi-Einstein manifold with boundary.

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具有边界的紧致梯度爱因斯坦型流形的刚性条件

受Baltazar和Queiroz最近论文的启发[J] .地球物理学报，34(4):158,2024。https://doi.org/10.1007/s12220-024-01603-y)，在本文中，我们证明了具有非空边界和常数曲率的紧致梯度爱因斯坦型流形在一个与势函数无关的挤压条件下的刚性。作为梯度爱因斯坦型流形的一个特例，我们也给出了\((m,\rho )\) -拟爱因斯坦流形的一个有边界的刚性结果。

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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来源期刊

Letters in Mathematical Physics 物理-物理：数学物理

CiteScore

2.40

自引率

8.30%

发文量

111

审稿时长

3 months

期刊介绍： The aim of Letters in Mathematical Physics is to attract the community''s attention on important and original developments in the area of mathematical physics and contemporary theoretical physics. The journal publishes letters and longer research articles, occasionally also articles containing topical reviews. We are committed to both fast publication and careful refereeing. In addition, the journal offers important contributions to modern mathematics in fields which have a potential physical application, and important developments in theoretical physics which have potential mathematical impact.