具有边界的紧致梯度爱因斯坦型流形

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

Letters in Mathematical Physics Pub Date : 2025-04-28 DOI:10.1007/s11005-025-01937-w

Allan George de Carvalho Freitas, José Nazareno Vieira Gomes

引用次数: 0

摘要

研究了具有非空边界的紧致梯度爱因斯坦型流形的刚性结果。结果，我们得到了单连通空间形式下半球和测地线球的新表征。在第三维和第五维，我们得到了其区域边界和上界的拓扑特征。

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Compact gradient Einstein-type manifolds with boundary

We deal with rigidity results for compact gradient Einstein-type manifolds with nonempty boundary. As a result, we obtain new characterizations for hemispheres and geodesic balls in simply connected space forms. In dimensions three and five, we obtain topological characterizations for the boundary and upper bounds for its area.

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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.