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Spaces of Riemannian metrics

Snapshots of modern mathematics from 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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Mathematical subjects

Geometry and Topology

Author(s)

Mauricio Bustamante, Jan-Bernhard Kordaß

License

DOI (Digital Object Identifier)

10.14760/SNAP-2017-010-EN

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snapshots-2017-010.pdf

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snapshots: overview

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