Backward Ricci Flow on Locally Homogeneous 4-Manifolds

Thomas Bell

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arXiv · 1507.08988

Backward Ricci Flow on Locally Homogeneous 4-Manifolds

Thomas Bell

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Abstract

In this paper we study backward Ricci flow of locally homogeneous geometries of $4$-manifolds which admit compact quotients. We describe the long-term behavior of each class and show that many of the classes exhibit the same behavior near the singular time. In most cases, these manifolds converge to a sub-Riemannian geometry after suitable rescaling.

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Thomas Bell. 2015-07-31. Backward Ricci Flow on Locally Homogeneous 4-Manifolds. https://arxiv.org/abs/1507.08988

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