Renormalized volume and non-degeneracy of conformally compact Einstein four-manifolds

被引：0
|
作者：
Gursky, Matthew J. [1 ]
机构：
[1] Univ Notre Dame, Dept Math, Notre Dame, IN 46556 USA
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2024年 / 202卷
关键词：
Conformally compact manifolds; Einstein metrics; Linearized Einstein equations; BOUNDARY-REGULARITY; METRICS; MANIFOLDS;
D O I：
10.1016/j.geomphys.2024.105226
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article we give a condition, depending on the renormalized volume of a fourdimensional Poincar & eacute; -Einstein manifold, which implies that the TT-gauge-fixed linearised Einstein operator is non-degenerate. (c) 2024 Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
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页数：8
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