symmetric space (Q3058244)
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pseudo-Riemannian manifold whose symmetry group contains an inversion symmetry about every point
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | symmetric space |
pseudo-Riemannian manifold whose symmetry group contains an inversion symmetry about every point |
Statements
![{\displaystyle G/H\qquad ({\mathfrak {g}}={\mathfrak {h}}\oplus {\mathfrak {m}},\;[{\mathfrak {h}},{\mathfrak {h}}]\subset {\mathfrak {h}},\;[{\mathfrak {h}},{\mathfrak {m}}]\subset {\mathfrak {m}},\;[{\mathfrak {m}},{\mathfrak {m}}]\subset {\mathfrak {h}})}](https://wikimedia.org/api/rest_v1/media/math/render/svg/27e315ce2d21dadeaa441094eaf208b657e459fe)
0 references
![{\displaystyle [,]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/f04349be7aa458edb6f1ab423189a8455c6e21f7)
Identifiers
Sitelinks
Wikipedia(7 entries)
- dewiki Symmetrischer Raum
- enwiki Symmetric space
- etwiki Sümmeetriline ruum
- frwiki Espace symétrique
- kowiki 대칭 공간
- ruwiki Симметрическое пространство
- ukwiki Симетричний простір