26 citations · 27 across the 3 of their papers we have counts for
3 papers
math.DS2023
Dynamics in the Kepler problem on the Heisenberg group
Sergey Basalaev, Sergei Agapov
We study the nonholonomic motion of a point particle on the Heisenberg group around the fixed "sun" whose potential is given by the fundamental solution of the sub-Laplacian. Unlik…
math.MG2017★ 1 cited
Privileged coordinates for Carnot-Carathéodory spaces of low smoothness
S. G. Basalaev
We describe classes of coordinate systems in Carnot-Carathéodory spaces of low smoothness which allow for homogeneous approximations of quasimetrics and basis vector fields. We est…
math.MG2012★ 26 cited
Approximate Differentiability of Mappings of Carnot-Carathéodory Spaces
Sergey Basalaev, Sergey Vodopyanov
We study the approximate differentiability of measurable mappings of Carnot--Carathéodory spaces. We show that the approximate differentiability almost everywhere is equivalent to…