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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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      Geistes- und Sozialwissenschaft
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      Physik
      Überlegungen zur Mathematik

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