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Spaces of Riemannian metrics

Instantanés de recherche mathématique à Oberwolfach

Spaces of Riemannian metrics

Riemannian metrics endow smooth manifolds such as surfaces with intrinsic geometric properties, for example with curvature. They also allow us to measure quantities like distances, angles and volumes. These are the notions we use to characterize the “shape” of a manifold. The space of Riemannian metrics is a mathematical object that encodes the many possible ways in which we can geometrically deform the shape of a manifold. 

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Sujet mathématique

Géométrie et Topologie

Auteur(s)

Mauricio Bustamante, Jan-Bernhard Kordaß

Licence

DOI

10.14760/SNAP-2017-010-EN

Télécharger PDF

snapshots-2017-010.pdf

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      Sujet mathématique

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      Analyse
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