Controlled Geometry via Smoothing

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We prove that Riemannian metrics with a uniform weak norm can be smoothed to having arbitrarily high regularity. This generalizes all previous smoothing results. As a consequence we obtain a generalization of Gromov's almost flat manifold theorem. A uniform Betti number estimate is also obtained.
18 pages, Latex

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Differential Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/152072

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/dg-ga/9508012
 http://arxiv.org/abs/dg-ga/9508012

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arXiv