Ricci measure for some singular Riemannian metrics

John Lott

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arXiv · 1503.04725

Ricci measure for some singular Riemannian metrics

John Lott

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Abstract

We define the Ricci curvature, as a measure, for certain singular torsion-free connections on the tangent bundle of a manifold. The definition uses an integral formula and vector-valued half-densities. We give relevant examples in which the Ricci measure can be computed. In the time dependent setting, we give a weak notion of a Ricci flow solution on a manifold.

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John Lott. 2015-03-16. Ricci measure for some singular Riemannian metrics. https://arxiv.org/abs/1503.04725

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