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Geometric flows and applications
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DOI：10.1002/prop.201000059.png)
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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. (C) 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
Keyword:
Geometric flows
string cosmology
gravitational instantons
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7.8
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2.0K
被引数:
3.6K
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