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- W3088893324 abstract "We derive sufficient conditions for a nonholonomic system to preserve a smooth volume form; these conditions become necessary when the density is assumed to only depend on the configuration variables. Moreover, this result can be extended to geodesic flows for arbitrary metric connections and the sufficient condition manifests as integrability of the torsion. As a consequence, volume-preservation of a nonholonomic system is closely related to the torsion of the nonholonomic connection. This result is applied to the Suslov problem for left-invariant systems on Lie groups (where the underlying space is Poisson rather than symplectic)." @default.
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- W3088893324 date "2020-09-23" @default.
- W3088893324 modified "2023-09-27" @default.
- W3088893324 title "Existence of invariant volumes in nonholonomic systems." @default.
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