3 citations · 4 across the 11 of their papers we have counts for
5 papers · 1 filter
Sub-Riemannian structures and non-transitive Cartan geometries via Lie groupoids
Ivan Beschastnyi, Francesco Cattafi, João Nuno Mestre
In this paper we discuss how to associate a suitable non-transitive version of a Cartan connection to sub-Riemannian manifolds of corank 1 (including contact and quasi-contact sub-…
Schrödinger operators with non-integer power-law potentials and Lie-Rinehart algebras
Ivan Beschastnyi, Catarina Carvalho, Victor Nistor +1
We study Schrödinger operators with potentials that have power-law growth (not necessarily polynomial) at 0 and at using methods of Lie theory (Lie-Rinehar…
Self-adjointness criteria and self-adjoint extensions of the Laplace-Beltrami operator on -Grushin manifolds
Ivan Beschastnyi, Hadrian Quan
The Grushin plane serves as one of the simplest examples of a sub-Riemannian manifold whose distribution is of non-constant rank. Despite the fact that the singular set where this…
Closure of the Laplace-Beltrami operator on 2D almost-Riemannian manifolds and semi-Fredholm properties of differential operators on Lie manifolds
Ivan Beschastnyi
The problem of determining the domain of the closure of the Laplace-Beltrami operator on a 2D almost-Riemannian manifold is considered. Using tools from theory of Lie groupoids nat…
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…