Category:Levi-Civita Connection
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This category contains results about Levi-Civita Connection.
Let $\struct {M, g}$ be a Riemannian or pseudo-Riemannian manifold with or without boundary.
Let $TM$ be the tangent bundle of $M$.
Let $\nabla$ be a connection on $TM$.
The validity of the material on this page is questionable. In particular: Does $\nabla$ not have to be a connection on $M$ according to the definition? $TM$ is another manifold. You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by resolving the issues. To discuss this page in more detail, feel free to use the talk page. When this work has been completed, you may remove this instance of {{Questionable}} from the code.If you would welcome a second opinion as to whether your work is correct, add a call to {{Proofread}} the page. |
Suppose $\nabla$ is compatible with $g$ and symmetric.
Then $\nabla$ is called Levi-Civita connection.
Pages in category "Levi-Civita Connection"
The following 5 pages are in this category, out of 5 total.