Separability in Riemannian Manifolds¶
Benenti, S. (2016). Separability in Riemannian Manifolds. Symmetry, Integrability and Geometry: Methods and Applications.
Cited by¶
1 citation across 1 artifact.
Each citation links to the sentence it supports in the citing article.
Domain-specific¶
- Liouville Dynamical System
- In two dimensions, orthogonally separable metrics are locally expressible in Liouville form; in dimensions greater than two, separable Stäckel forms exist that are not the restricted Liouville form used here
This sourceSurveys orthogonal separability of natural Hamiltonians through Killing-Stackel theory, including the two-dimensional criterion that separability is equivalent to a non-trivial quadratic first integral; the identification of the two-dimensional case with Liouville normal form is not made in this source.
Supported in partVerified against the source
- In two dimensions, orthogonally separable metrics are locally expressible in Liouville form; in dimensions greater than two, separable Stäckel forms exist that are not the restricted Liouville form used here
Verification¶
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