On rational extension of Heisenberg algebra
Construction of rational extension for Heisenberg algebra with one pair of generators is discussed.
math.RA↗
arXiv subjects
Ruslan Sharipov
Publications and source records attributed to Ruslan Sharipov.
Newtonian dynamical systems admitting normal blow-up of points
Class of Newtonian dynamical systems admitting normal blow-up of points in Riemannian manifolds is considered. Geometric interpretation for weak normality condition, which arose earlier in the theory of dynamical systems admitting the normal shift of hypersurfaces, is found.
math.DG↗
Newtonian normal shift in multidimensional Riemannian geometry
Explicit description for arbitrary Newtonian dynamical system admitting the normal shift in Riemannian manifold of the dimension $n\geq 3$ is found. On the base of this result the kinematics of normal shift of hypersurfaces along trajectories of such system is studied.
math.DG↗
Dynamical systems admitting the normal shift
Development of theory of dynamical systems admitting the normal shift in 1993-1999 is reviewed. Basics are given with complete proofs.
math.DG↗