Abstract
AbstractI 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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