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arXiv · 1106.4720

Homogeneous spaces, dynamics, cosmology: Geometric flows and rational dynamics

Abdelghani Zeghib
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Abstract

The Ricci flow is a parabolic evolution equation in the space of Riemannian metrics of a smooth manifold. To some extent, Einstein equations give rise to a similar hyperbolic evolution. The present text is an introductory exposition to Bianchi-Ricci and Bianchi-Einstein flows, that is, the restricted finitely dimensional dynamical systems, obtained by considering homogeneous metrics.

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Abdelghani Zeghib. 2011-06-24. Homogeneous spaces, dynamics, cosmology: Geometric flows and rational dynamics. https://arxiv.org/abs/1106.4720

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