Some Other Important Topics

Marcel Berger ()
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Marcel Berger: Institut des Hautes Études Scientifiques IHES

Chapter 14 in A Panoramic View of Riemannian Geometry, 2003, pp 659-691 from Springer

Abstract: Abstract We have already mentioned extensions of various results for compact manifolds to complete manifolds. It is clear that one should restrict oneself to only certain sorts of noncompact Riemannian manifolds to have a hope of obtaining results. Let us mention in particular the possibilities of examining manifolds with finite volume, those with prescribed asymptotic behaviour at infinity, for example quadratic decay,1 quadratic curvature decay, volume behaviour, Euclidean asymptoticity, etc.

Keywords: Riemannian Manifold; Vector Bundle; Convex Body; Dirac Operator; Riemannian Geometry (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-18245-7_14

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DOI: 10.1007/978-3-642-18245-7_14

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