The Entropy of Lagrange-Finsler Spaces and Ricci Flows

Details The Entropy of Lagrange-Finsler Spaces and Ricci Flows The Entropy of Lagrange-Finsler Spaces and Ricci Flows

2007-01-22

arxiv.org/abs/math/0701621v3

Rep. Math. Phys. 63 (2009) 95-110

Mathematics

Differential Geometry

latex2e, 20 pages, v3, the variant accepted to Rep. Math. Phys

Scientific paper

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.

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