Glossary of Riemannian and Metric Geometry

Glossary Of Riemannian And Metric Geometry

This is a glossary of some terms used in Riemannian geometry and metric geometry — it doesn't cover the terminology of differential topology.

The following articles may also be useful; they either contain specialised vocabulary or provide more detailed expositions of the definitions given below.

  • Connection
  • Curvature
  • Metric space
  • Riemannian manifold

See also:

  • Glossary of general topology
  • Glossary of differential geometry and topology
  • List of differential geometry topics

Unless stated otherwise, letters X, Y, Z below denote metric spaces, M, N denote Riemannian manifolds, |xy| or denotes the distance between points x and y in X. Italic word denotes a self-reference to this glossary.

A caveat: many terms in Riemannian and metric geometry, such as convex function, convex set and others, do not have exactly the same meaning as in general mathematical usage.

Contents: Top 0–9 A B C D E F G H I J K L M N O P Q R S T U V W X Y Z


Read more about Glossary Of Riemannian And Metric Geometry:  A, B, C, D, E, F, G, H, I, J, K, L, M, N, P, Q, R, S, T, W

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