Almost Kähler Ricci flows and Einstein and Lagrange-Finsler structures on Lie algebroids

DOI10.1007/S00009-014-0461-7zbMath1328.53090arXiv1306.2813OpenAlexW2136835725MaRDI QIDQ892121

Sergiu I. Vacaru

Publication date: 18 November 2015

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.2813

zbMATH Keywords

Lie algebroidsFinsler geometryLagrange mechanicsalmost Kähler structureseffective Einstein spacesRicci flows

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Local differential geometry of Hermitian and Kählerian structures (53B35) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Almost contact and almost symplectic manifolds (53D15) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D99) Nonholonomic dynamical systems (37J60)

Related Items (10)

On almost complex Lie algebroids ⋮ Distinguished connections on Finsler algebroids ⋮ Killing sections and sigma models with Lie algebroid targets ⋮ On supersymmetric geometric flows and \(\mathcal R^2\) inflation from scale invariant supergravity ⋮ Weyl’s theory in the generalized Lie algebroids framework ⋮ Black holes with MDRs and Bekenstein-Hawking and Perelman entropies for Finsler-Lagrange-Hamilton spaces ⋮ Heterotic supergravity with internal almost-Kähler spaces; instantons for SO (32), or E ₈ × E ₈ , gauge groups; and deformed black holes with soliton, quasiperiodic and/or pattern-forming structures ⋮ (para-) Kähler structures on \(\rho \)-commutative algebras ⋮ Forms and Chern classes on Hermitian Lie algebroids ⋮ Metrizability problem for spray on Lie algebroids

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Symplectic curvature flow
• Foliated Lie and Courant algebroids
• A complete proof of the Poincaré and geometrization conjectures -- application of the Hamilton-Perelman theory of the Ricci flow
• Algebraic constructions in the category of Lie algebroids
• Notes on Perelman's papers
• Convergence of the Kähler-Ricci flow on noncompact Kähler manifolds
• Three-manifolds with positive Ricci curvature
• Lie algebroid structures and Lagrangian systems on affine bundles
• Fractional nonholonomic Ricci flows
• Nonholonomic algebroids, Finsler geometry, and Lagrange-Hamilton spaces
• The entropy of Lagrange-Finsler spaces and Ricci flows
• METRIC COMPATIBLE OR NON-COMPATIBLE FINSLER–RICCI FLOWS
• Spectral functionals, nonholonomic Dirac operators, and noncommutative Ricci flows
• Clifford-Finsler algebroids and nonholonomic Einstein–Dirac structures
• FINSLER AND LAGRANGE GEOMETRIES IN EINSTEIN AND STRING GRAVITY
• Lagrangian submanifolds and dynamics on Lie algebroids
• A SURVEY OF LAGRANGIAN MECHANICS AND CONTROL ON LIE ALGEBROIDS AND GROUPOIDS
• Nonholonomic Ricci flows. II. Evolution equations and dynamics
• Lagrange geometry
• Lagrangian mechanics on Lie algebroids

This page was built for publication: Almost Kähler Ricci flows and Einstein and Lagrange-Finsler structures on Lie algebroids