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arXiv · 1002.3302

Scalar curvature, isoperimetric collapse and General Relativity in the Constant Mean Curvature gauge

Martin Reiris
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Abstract

We discuss a set of relations, set in the form of results, conjectures and problems, between the L^{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.

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Martin Reiris. 2010-02-17. Scalar curvature, isoperimetric collapse and General Relativity in the Constant Mean Curvature gauge. https://arxiv.org/abs/1002.3302

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