Category:Definitions/Isometries (Riemannian Manifolds)
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This category contains definitions related to isometries in the context of Riemannian manifolds.
Related results can be found in Category:Isometries (Riemannian Manifolds).
Let $\struct {M, g}$ and $\struct {\tilde M, \tilde g}$ be Riemannian manifolds with Riemannian metrics $g$ and $\tilde g$ respectively.
Let the mapping $\phi : M \to \tilde M$ be a diffeomorphism such that:
- $\phi^* \tilde g = g$
Then $\phi$ is called an isometry from $\struct {M, g}$ to $\struct {\tilde M, \tilde g}$.
Pages in category "Definitions/Isometries (Riemannian Manifolds)"
The following 4 pages are in this category, out of 4 total.