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arXiv · 1011.1106

Geometric flows and applications

Marios Petropoulos
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Abstract

I present some applications of geometric flows in string theory and gravity. In some circumstances time evolution in string theory can be approximately identified with Ricci-flow parametric evolution of spatial sections. In four dimensions, homogeneous, self-dual, gravitational instantons of general relativity evolve in time exactly as geometric flows of homogeneous three-manifolds. For non-relativistic versions of gravity, this property persists in any dimension, under the assumption of detailed-balance condition.

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Marios Petropoulos. 2010-11-04. Geometric flows and applications. https://arxiv.org/abs/1011.1106

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