Scalar Curvature, Isoperimetric Collapse and General Relativity in the Constant Mean Curvature Gauge

被引：0

作者：

Reiris, Martin ^{[1
]}

机构：

[1] Max Planck Inst Gravitat Phys, Albert Einstein Inst, D-14476 Golm, Germany

来源：

COMPLEX ANALYSIS AND DYNAMICAL SYSTEMS IV, PT 2: GENERAL RELATIVITY, GEOMETRY, AND PDE | 2011年 / 554卷

关键词：

RIEMANNIAN-MANIFOLDS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We discuss a set of relations, stated in the form of results, conjectures and problems, between the L-g(2)-norm of the Ricci curvature of a 3-manifold, the scalar curvature and the volume radius. We illustrate the scope of these relations with potential applications to the Einstein Constant Mean Curvature flow (or GR seen as a geometric flow of constant mean curvature), but we believe the framework has it own geometric interest.

引用

页码：165 / 185

页数：21

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