Yu. L. Sachkov, “Left-invariant optimal control problems on Lie groups that are integrable by
elliptic functions”, Uspekhi Mat. Nauk, 78:1(469) (2023), 67–166; Russian Math. Surveys, 78:1 …

Цель данной работы–дать обзор основных понятий, методов и результатов,
относящихся к левоинвариантным задачам оптимального управления на группах Ли …

Sub-Lorentzian distance and spheres on the Heisenberg group | Journal of Dynamical and
Control Systems Skip to main content SpringerLink Account Menu Find a journal Publish with us …

We study a special class of nilpotent Lie groups of step 2, that generalizes the class of the so-
called H (eisenberg)-type groups, defined by A. Kaplan in 1980. We change the presence of …

We generalize the concept of sub-Riemannian geometry to infinite-dimensional manifolds
modeled on convenient vector spaces. On a sub-Riemannian manifold MM, the metric is …

We consider a left-invariant sub-Lorentzian structure on a Lie group. This structure is
assumed to be defined by a closed convex salient cone in the corresponding Lie algebra …

We consider the Lie group PSL 2 (ℝ) PSL_2(R) (the group of orientation-preserving
isometries of the hyperbolic plane) and a left-invariant Riemannian metric on this group with …

3-dimensional left-invariant sub-Lorentzian contact structures - ScienceDirect Skip to main
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Two flat sub-Lorentzian problems on the Martinet distribution are studied. For the first one,
the attainable set has a nontrivial intersection with the Martinet plane, but for the second one …

Let M be an oriented three-dimensional Riemannian manifold of constant sectional
curvature k= 0, 1,-1 and let SOM be its direct orthonormal frame bundle (direct refers to …