The Entropy of Lagrange-Finsler Spaces and Ricci Flows
arXiv:math/0701621 · doi:10.1016/S0034-4877(09)90007-6
Abstract
We formulate a statistical analogy of regular Lagrange mechanics and Finsler geometry derived from Grisha Perelman's functionals generalized for nonholonomic Ricci flows. There are elaborated explicit constructions when nonholonomically constrained flows of Riemann metrics result in Finsler like configurations, and inversely, and geometric mechanics is modelled on Riemann spaces with preferred nonholonomic frame structure.
latex2e, 20 pages, v3, the variant accepted to Rep. Math. Phys
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