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 $TM$.



Suppose $\nabla$ is compatible with $g$ and symmetric.


Then $\nabla$ is called Levi-Civita connection.

Subcategories

This category has only the following subcategory.