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N-enlarged Galilei Hopf algebra and its twist deformations
N-enlarged Galilei Hopf algebra Mathematical Physics
2012/5/24
The N-enlarged Galilei Hopf algebra is constructed. Its twist deformations are considered and the corresponding twisted space-times are derived.
Inherited structures in deformations of Poisson pencils
Inherited structures deformations of Poisson pencils Mathematical Physics
2011/9/5
Abstract: In this paper with study some properties of bi-Hamiltonian deformations of Poisson pencils of hydrodynamic type. More specifically, we are interested in determining those structures of the f...
Hidden Symmetries for Ellipsoid-Solitonic Deformations of Kerr-Sen Black Holes and Quantum Anomalies
Hidden symmetries in general relativity gravitational anomalies nonholonomic deformations
2011/7/25
Abstract: We prove the existence of hidden symmetries in the general relativity theory defined by exact solutions with generic off-diagonal metrics, nonholonomic (non-integrable) constraints, and defo...
Three-dimensional gravity and Drinfel'd doubles: spacetimes and symmetries from quantum deformations
gravity Chern–Simons theory deformation spacetime anti-de Sitter hyperbolic cosmological constant contraction
2010/3/18
We show how the constant curvature spacetimes of 3d gravity and the associated symmetry algebras can be derived from a single quantum deformation of the 3d Lorentz algebra sl(2,R). We investigate the ...
The conservation of the Hamiltonian structures in the deformations of the Whitham systems
Hamiltonian structures Whitham systems deformations
2010/4/7
We consider the construction of the deformed Whitham system for the KdV-equation in the one-phase case and investigate the conservation of the Hamiltonian properties in this situation. It is shown the...