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Some Other Important Topics

In: A Panoramic View of Riemannian Geometry

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  • Marcel Berger

    (Institut des Hautes Études Scientifiques IHES)

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.

Suggested Citation

  • Marcel Berger, 2003. "Some Other Important Topics," Springer Books, in: A Panoramic View of Riemannian Geometry, chapter 14, pages 659-691, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-18245-7_14
    DOI: 10.1007/978-3-642-18245-7_14
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