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arXiv · 1411.6058

Ricci flow on Riemannian groupoids

Christian Hilaire
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Abstract

We study the Ricci flow on Riemannian groupoids. We assume that these groupoids are closed and that the space of orbits is compact and connected. We prove the short time existence and uniqueness of the Ricci flow on these groupoids. We also define a F-functional and derive the corresponding results for steady breathers on these spaces.

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Christian Hilaire. 2014-11-22. Ricci flow on Riemannian groupoids. https://arxiv.org/abs/1411.6058

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