Curve flows and solitonic hierarchies generated by Einstein metrics

DOI10.1007/s10440-008-9387-zzbMath1203.37106arXiv0810.0707OpenAlexW2166703246MaRDI QIDQ973815

Sergiu I. Vacaru

Publication date: 26 May 2010

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.0707

zbMATH Keywords

bi-Hamiltonian structure(pseudo) Riemannian metric\(N\)-connectionmKdV hierarchiessolitonic equations

Mathematics Subject Classification ID

Related Items (11)

Black ring and Kerr ellipsoid — Solitonic configurations in modified Finsler gravity ⋮ Modified Einstein and Finsler like theories on tangent Lorentz bundles ⋮ Off-diagonal ekpyrotic scenarios and equivalence of modified, massive and/or Einstein gravity ⋮ Curve flows and solitonic hierarchies generated by Einstein metrics ⋮ Integrable motions of curves in projective geometries ⋮ On general solutions for field equations in Einstein and higher dimension gravity ⋮ Nonholonomic black ring and solitonic solutions in Finsler and extra dimension gravity theories ⋮ Fractional dynamics from Einstein gravity, general solutions, and black holes ⋮ Curve flows in Lagrange-Finsler geometry, bi-Hamiltonian structures and solitons ⋮ Quantum geometric information flows and relativistic generalizations of G. Perelman thermodynamics for nonholonomic Einstein systems with black holes and stationary solitonic hierarchies ⋮ Fractional curve flows and solitonic hierarchies in gravity and geometric mechanics

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