2 citations · 3 across the 6 of their papers we have counts for
7 papers
On the existence and prolongation of infinitesimal isometries on special sub-Riemannian manifolds
Marek Grochowski
In the present paper we deal with (local) infinitesimal isometries of special sub-Riemannian manifolds (a contact and oriented sub-Riemannian manifold is called special if the Reeb…
3-dimensional left-invariant sub-Lorentzian contact structures
Marek Grochowski, Alexandr Medvedev, Ben Warhurst
We provide a classification of -invariant sub-Lorentzian structures on dimensional contact Lie groups. Our approach is based on invariants arising form the construction of…
On contact sub-pseudo-Riemannian isometries
Marek Grochowski, Wojciech Krynski
We study isometries in the contact sub-pseudo-Riemannian geometry. In particular we give an upper bound on the dimension of the isometry group of a general sub-pseudo-Riemannian ma…
Invariants of contact sub-pseudo-Riemannian structures and Einstein-Weyl geometry
Marek Grochowski, Wojciech Krynski
We consider local geometry of sub-pseudo-Riemannian structures on contact manifolds. We construct fundamental invariants of the structures and show that the structures give rise to…
Normal forms for sub-Lorentzian metrics supported on Engel type distributions
Marek Grochowski
We construct normal forms for Lorentzian metrics on Engel distributions under the assumption that abnormal curves are timelike future directed Hamiltonian geodesics. Then we indica…
A necessary and sufficient condition for local controllability around closed orbits
Marek Grochowski
In this paper we give a necessary and sufficient condition for local controllability around closed orbits for general smooth control systems. We also prove that any such system on…