3 papers
math.OC2025
Family of Riemannian problems on the Heisenberg group
Yu. Sachkov
We study a family of Riemannian problems on the Heisenberg group that tends to the sub-Riemannian problem on this group.
math.OC2025
Families of Lorentzian problems on the Heisenberg group
Yu. Sachkov
We consider two families of Lorentzian problems on the Heisenberg group and their asymptotic behaviour as the parameter of a family tends to a limit.
math.DG2025
Lorentzian problems on the Heisenberg group
I. A. Galyaev, Yu. L. Sachkov
Three left-invariant Lorentzian problems on the Heisenberg group are considered. The Pontryagin maximum principle was applied to both problems and a parameterization of abnormal an…