Proper space | Wikipedia audio article
Channel: wikipedia tts
Date: 2019-03-28

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Glossary_of_Riemannian_and_metric_geometry


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SUMMARY
=======
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 manifoldSee also:

Glossary of general topology
Glossary of differential geometry and topology
List of differential geometry topicsUnless stated otherwise, letters X, Y, Z below denote metric spaces, M, N denote Riemannian manifolds, |xy| or 
  
    
      
        
          |
        
        x
        y
        
          
            |
          
          
            X
          
        
      
    
    {\displaystyle |xy|_{X}}
   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.