22 citations · 35 across the 8 of their papers we have counts for
9 papers
Cartan connections for stochastic developments on sub-Riemannian manifolds
Ivan Beschastnyi, Karen Habermann, Alexandr Medvedev
Analogous to the characterisation of Brownian motion on a Riemannian manifold as the development of Brownian motion on a Euclidean space, we construct sub-Riemannian diffusions on…
Classification of homogeneous affine tube domains with large automorphism groups in arbitrary dimensions
Vladimir Ezhov, Alexandr Medvedev, Gerd Schmalz
We classify tube domains in () with affinely homogeneous base of their boundary and a.) with positive definite Levi form and b.) with Lorentzian type Levi…
Constant Curvature Models in Sub-Riemannian Geometry
D. Alekseevsky, A. Medvedev, J. Slovak
Each sub-Riemannian geometry with bracket generating distribution enjoys a background structure determined by the distribution itself. At the same time, those geometries with const…
Homogeneous Levi non-degenerate hypersurfaces in
Boris Doubrov, Alexandr Medvedev, Dennis The
We classify all (locally) homogeneous Levi non-degenerate real hypersurfaces in with symmetry algebra of dimension .
Left-invariant Sub-Riemannian Engel structures: abnormal geodesics and integrability
Ivan Beschastnyi, Alexandr Medvedev
We provide the first known family of examples of integrable homogeneous sub-Riemannian structures admitting strictly abnormal geodesics. These examples were obtained through the an…
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…