Geometric flows and applications

Details Geometric flows and applications Geometric flows and applications

2010-11-04

arxiv.org/abs/1011.1106v1

Fortschr. Phys. 58 (2010) 839

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, Corfu 09 contribution

Scientific paper

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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