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Riemannian geometry

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Context

Riemannian geometry

Riemannian geometry

Basic definitions

Further concepts

Theorems

Applications

Differential geometry

differential geometry

synthetic differential geometry

Axiomatics

Models

Concepts

Theorems

Applications

Contents

Idea

Riemannian geometry studies smooth manifolds that are equipped with a Riemannian metric: Riemannian manifolds.

local modelglobal geometry
Euclidean geometryRiemannian geometry
Klein geometryCartan geometry

References

  • Isaac Chavel, Riemannian geometry – A modern introduction Cambridge University Press (1993)
  • Marcel Berger, A panoramic view of Riemannian geometry
Revised on August 31, 2011 16:10:11 by Urs Schreiber (131.211.238.114)
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