The entropy of Lagrange-Finsler spaces and Ricci flows

DOI10.1016/S0034-4877(09)90007-6zbMath1173.53029arXivmath/0701621OpenAlexW1989820686MaRDI QIDQ2270473

Sergiu I. Vacaru

Publication date: 28 July 2009

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0701621

zbMATH Keywords

Finsler geometryLagrange geometrynonlinear connectionsnonholonomic manifoldsRicci flows

Mathematics Subject Classification ID

Related Items (8)

METRIC COMPATIBLE OR NON-COMPATIBLE FINSLER–RICCI FLOWS ⋮ Black holes with MDRs and Bekenstein-Hawking and Perelman entropies for Finsler-Lagrange-Hamilton spaces ⋮ Classical and quantum geometric information flows and entanglement of relativistic mechanical systems ⋮ Almost Kähler Ricci flows and Einstein and Lagrange-Finsler structures on Lie algebroids ⋮ Fractional nonholonomic Ricci flows ⋮ Curve flows and solitonic hierarchies generated by Einstein metrics ⋮ Further insights into thermal relativity theory and black hole thermodynamics ⋮ Spinor and twistor geometry in Einstein gravity and Finsler modifications

Cites Work

• Notes on Perelman's papers
• The theory of sprays and Finsler spaces with applications in physics and biology
• On the geometry of the random representations for viscous fluids and a remarkable pure noise representation
• Three-manifolds with positive Ricci curvature
• Spectral functionals, nonholonomic Dirac operators, and noncommutative Ricci flows
• RICCI FLOWS AND SOLITONIC pp-WAVES
• NONHOLONOMIC RICCI FLOWS AND RUNNING COSMOLOGICAL CONSTANT I: 4D TAUB-NUT METRICS
• FINSLER AND LAGRANGE GEOMETRIES IN EINSTEIN AND STRING GRAVITY
• Nonholonomic Ricci flows. II. Evolution equations and dynamics
• Locally anisotropic kinetic processes and thermodynamics in curved spaces.
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