Spectral functionals, nonholonomic Dirac operators, and noncommutative Ricci flows

DOI10.1063/1.3157146zbMath1256.58008arXiv0806.3814OpenAlexW1975451244WikidataQ124843047 ScholiaQ124843047MaRDI QIDQ3069154

Sergiu I. Vacaru

Publication date: 24 January 2011

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.3814

zbMATH Keywords

geometryDirac equationnoncommutative field theory

Mathematics Subject Classification ID

Related Items (22)

TWO-CONNECTION RENORMALIZATION AND NON-HOLONOMIC GAUGE MODELS OF EINSTEIN GRAVITY ⋮ Super-luminal effects for Finsler branes as a way to preserve the paradigm of relativity theories ⋮ Einstein gravity in almost Kähler variables and stability of gravity with nonholonomic distributions and nonsymmetric metrics ⋮ METRIC COMPATIBLE OR NON-COMPATIBLE FINSLER–RICCI FLOWS ⋮ On supersymmetric geometric flows and \(\mathcal R^2\) inflation from scale invariant supergravity ⋮ 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 ⋮ Analyticity and spectral properties of noncommutative Ricci flow in a matrix geometry ⋮ Nonassociative black holes in R-flux deformed phase spaces and relativistic models of Perelman thermodynamics ⋮ Nonholonomic jet deformations, exact solutions for modified Ricci soliton and Einstein equations ⋮ Geometric flows and Perelman's thermodynamics for black ellipsoids in \(R^2\) and Einstein gravity theories ⋮ Modified dispersion relations in Hořava-Lifshitz gravity and Finsler brane models ⋮ 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 ⋮ On Clifford space relativity, black hole entropy, rainbow metrics, generalized dispersion and uncertainty relations ⋮ ON GENERAL SOLUTIONS OF EINSTEIN EQUATIONS ⋮ Summary of session A4: complex and conformal methods in classical and quantum gravity ⋮ The Ricci flow on noncommutative two-tori ⋮ Curve flows and solitonic hierarchies generated by Einstein metrics ⋮ The entropy of Lagrange-Finsler spaces and Ricci flows ⋮ Fractional dynamics from Einstein gravity, general solutions, and black holes ⋮ Quantum geometric information flows and relativistic generalizations of G. Perelman thermodynamics for nonholonomic Einstein systems with black holes and stationary solitonic hierarchies ⋮ Spinor and twistor geometry in Einstein gravity and Finsler modifications

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