Levi-Civita connection (Q2938)
From MaRDI portal
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_XY-\nabla_YX&=[X,Y]\end{aligned}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/0608708367a22079fac820f0236626dff0604200)
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![{\displaystyle [-,-]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/7ba9b4dfaeae181a7a507d66e1b54fb640a7c61d)
Identifiers
129049296
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Levi-Civita connection
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C129049296
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