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arXiv · 2108.13281

Ricci Flow on Torus Bundles

Dmytro Yeroshkin
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Abstract

In this paper we compute the Ricci flow formulas for invariant metrics on prinicpal $G$-bundles compatible with the connection. Our primary focus is on torus bundles which we use to study a notion of Bakry-Émery Ricci flow as well as Ricci flow on circle bundles over Kähler-Einstein manifolds. The latter application gives us solutions to Ricci flows on Heisenberg groups and implicit solutions to Ricci flows on Berger 3-spheres and several other 3-dimensional manifolds.

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Dmytro Yeroshkin. 2021-08-30. Ricci Flow on Torus Bundles. https://arxiv.org/abs/2108.13281

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