紧凑爱因斯坦型流形的一些特征

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

Letters in Mathematical Physics Pub Date : 2024-02-24 DOI:10.1007/s11005-024-01786-z

Maria Andrade, Ana Paula de Melo

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引用次数: 0

摘要

在这项工作中，我们研究了具有非空边界的紧凑爱因斯坦型流形的几何和拓扑。首先，我们证明了一个尖锐的边界估计，并由此得出，在某些假设条件下，霍金质量在面积上是自下而上有界的。然后，我们给出了其边界的拓扑分类。最后，我们推导出了具有正恒定标量曲率的紧凑爱因斯坦型流形的一些分类结果，并假设了无迹利玛窦张量的点式不等式。

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Some characterizations of compact Einstein-type manifolds

In this work, we investigate the geometry and topology of compact Einstein-type manifolds with nonempty boundary. First, we prove a sharp boundary estimate and as consequence we obtain, under certain hypotheses, that the Hawking mass is bounded from below in terms of area. Then we give a topological classification for its boundary. Finally, we deduce some classification results for compact Einstein-type manifolds with positive constant scalar curvature and assuming a pointwise inequality for the traceless Ricci tensor.

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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.