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- W4214785732 abstract "We study the variation of a smooth volume form along extremals of a variational problem with nonholonomic constraints and an action-like Lagrangian. We introduce a new invariant describing the interaction of the volume with the dynamics and we study its basic properties. We then show how this invariant, together with curvature-like invariants of the dynamics, appear in the expansion of the volume at regular points of the exponential map. This generalizes the well-known expansion of the Riemannian volume in terms of Ricci curvature to a wide class of geometric structures, including all sub-Riemannian manifolds." @default.
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- W4214785732 date "2016-02-03" @default.
- W4214785732 modified "2023-10-01" @default.
- W4214785732 title "Volume geodesic distortion and Ricci curvature for Hamiltonian dynamics" @default.
- W4214785732 hasPublicationYear "2016" @default.
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