SOME RIGIDITY RESULTS FOR COMPACT INITIAL DATA SETS

被引：2

作者：

Galloway, Gregory J. ^{[1
]}

Mendes, Abraao ^{[2
]}

机构：

[1] Univ Miami, Dept Math, Coral Gables, FL 33146 USA

[2] Univ Fed Alagoas, Inst Matemat, Maceio, AL, Brazil

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2023年

关键词：

EXISTENCE; THEOREM;

D O I：

10.1090/tran/9079

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 by Galloway and Mendes [Comm. Anal. Geom. 26 (2018), pp. 63-83]. We also obtain some extensions of results by Eichmair, Galloway, and Mendes [Comm. Math. Phys. 386 (2021), pp. 253-268]. A number of examples are given in order to illustrate some of the results presented in this paper.

引用

页码：1989 / 2007

页数：19

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