Ivan Beschastnyi

collaborators

3 papers

math.AP2023

Analysis on noncompact manifolds and Index Theory: Fredholm conditions and Pseudodifferential operators

Ivan Beschastnyi, Catarina Carvalho, Victor Nistor +1

We provide Fredholm conditions for compatible differential operators on certain Lie manifolds (that is, on certain possibly non-compact manifolds with nice ends). We discuss in mor…

math.FA2023

Embedding the Grushin Cylinder in $R^{3}$ and Schroedinger evolution

Ivan Beschastnyi, Ugo Boscain, Daniele Cannarsa +1

We consider the evolution of a free quantum particle on the Grushin cylinder, under different type of quantizations. In particular we are interested to understand if the particle c…

math.DG2014

Sub-Riemannian and almost-Riemannian geodesics on SO(3) and $S^{2}$

I. Yu. Beschastnyi, Yu. L. Sachkov

In this paper we study geodesics of left-invariant sub-Riemannian metrics on SO(3) and almost-Riemannian metrics on $S^{2}$ . These structures are connected with each other, and it is…

Analysis on noncompact manifolds and Index Theory: Fredholm conditions and Pseudodifferential operators

Embedding the Grushin Cylinder in R3and Schroedinger evolution

Sub-Riemannian and almost-Riemannian geodesics on SO(3) and S2

Embedding the Grushin Cylinder in $R^{3}$ and Schroedinger evolution

Sub-Riemannian and almost-Riemannian geodesics on SO(3) and $S^{2}$