Concept information
Preferred term
Riemannian manifold
Definition
- In differential geometry, a Riemannian manifold or Riemannian space (M, g), so called after the German mathematician Bernhard Riemann, is a real, smooth manifold M equipped with a positive-definite inner product g_p on the tangent space T_pM at each point p. (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Riemannian_manifold)
Broader concept
Narrower concepts
Entry terms
- Riemannian metric
- Riemann manifold
- Riemann metric
In other languages
-
French
-
métrique de Riemann
-
métrique riemannienne
-
variété de Riemann
URI
http://data.loterre.fr/ark:/67375/MDL-NQPQTF1Z-W
{{label}}
{{#each values }} {{! loop through ConceptPropertyValue objects }}
{{#if prefLabel }}
{{/if}}
{{/each}}
{{#if notation }}{{ notation }} {{/if}}{{ prefLabel }}
{{#ifDifferentLabelLang lang }} ({{ lang }}){{/ifDifferentLabelLang}}
{{#if vocabName }}
{{ vocabName }}
{{/if}}