Spaces of Riemannian metrics

Schnappschüsse moderner Mathematik aus 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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Mathematisches Fachgebiet

Geometrie und Topologie

Autor(en)

Mauricio Bustamante, Jan-Bernhard Kordaß

Lizenz

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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Mathematisches Fachgebiet

Algebra und Zahlentheorie
Analysis
Didaktik und Bildung
Diskrete Mathematik und Grundlagen
Geometrie und Topologie
Numerik und Wissenschaftliches Rechnen
Wahrscheinlichkeitstheorie und Statistik

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