Some rigidity results for compact initial data sets

2023/01/02 by Gregory J. Galloway, Galloway, Gregory J., Abraão Mendes +1 · 2 citations
Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Fibroblast Growth Factor Research #General Relativity and Quantum Cosmology (gr-qc) #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2301.00639

openalex publication_date 2023/01/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we prove several rigidity results for compact initial data sets, in both the boundary and no boundary cases. In particular, under natural energy, boundary, and topological conditions, we obtain a global version of the main result in [15]. We also obtain some extensions of results in [12]. A number of examples are given in order to illustrate some of the results presented in this paper.

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