Levi-Civita connection (Q548675)
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the unique torsion-free affine connection that preserves a given (pseudo-)Rimannian metric
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Levi-Civita connection |
the unique torsion-free affine connection that preserves a given (pseudo-)Rimannian metric |
Statements
![{\displaystyle {\begin{aligned}\nabla g&=0\\\nabla _{X}Y-\nabla _{Y}X&=[X,Y]\end{aligned}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/0608708367a22079fac820f0236626dff0604200)
0 references
![{\displaystyle [-,-]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/7ba9b4dfaeae181a7a507d66e1b54fb640a7c61d)
Identifiers
1 reference
Sitelinks
Wikipedia(16 entries)
- cawiki Connexió de Levi-Civita
- cswiki Levi-Civitova konexe
- dewiki Levi-Civita-Zusammenhang
- enwiki Levi-Civita connection
- eswiki Conexión de Levi-Civita
- fawiki التصاق لوی-چیویتا
- frwiki Connexion de Levi-Civita
- itwiki Connessione di Levi Civita
- jawiki レヴィ・チヴィタ接続
- kowiki 레비치비타 접속
- nlwiki Levi-civita-verbinding
- plwiki Koneksja Levi-Civity
- ptwiki Conexão de Levi-Civita
- ruwiki Связность Леви-Чивиты
- ukwiki Зв'язність Леві-Чивіти
- zhwiki 列维-奇维塔联络