The Entropy of Lagrange-Finsler Spaces and Ricci Flows
Differential Geometry
2015-06-26 v3 General Relativity and Quantum Cosmology
High Energy Physics - Theory
Mathematical Physics
math.MP
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.
Cite
@article{arxiv.math/0701621,
title = {The Entropy of Lagrange-Finsler Spaces and Ricci Flows},
author = {Sergiu I. Vacaru},
journal= {arXiv preprint arXiv:math/0701621},
year = {2015}
}
Comments
latex2e, 20 pages, v3, the variant accepted to Rep. Math. Phys