Controlled Geometry via Smoothing

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dc.creatorPetersen, Peter
dc.creatorWei, Guofang
dc.creatorYe, Rugang
dc.date1995-08-23
dc.date.accessioned2026-07-07T09:12:36Z
dc.date.available2026-07-07T09:12:36Z
dc.descriptionWe 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.
dc.description18 pages, Latex
dc.identifierhttps://arxiv.org/abs/dg-ga/9508012
dc.identifierhttp://arxiv.org/abs/dg-ga/9508012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152072
dc.subjectDifferential Geometry
dc.titleControlled Geometry via Smoothing
dc.typetext

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