V. Berestovskii

activity

20062023

most cited(Locally) shortest arcs of special sub-Riemannian metric on the Lie group SO(3)

7 citations · 14 across the 16 of their papers we have counts for

collaborators

Showing 2015Show all

3 papers · 1 filter

math.DG2015

The spectrum of the Laplace operator on connected compact simple rank three Lie groups

Valera Berestovskii, Irina Zubareva, Victor Svirkin

In this paper are given explicit calculations of Laplace operator spectrum for smooth real/complex-valued functions on all connected compact simple rank three Lie groups with biinv…

math.DG2015

Geodesics and shortest arcs of special sub-Riemannian metric on the Lie group $S L (2)$

V. Berestovskii, I. Zubareva

The authors found geodesics, shortest arcs, cut loci, and conjugate sets for left-invariant sub-Riemannian matric on the Lie group $S L (2)$ , which is right-invariant relative to the…

math.DG2015★ 1 cited

Sub-Riemannian distance on the Lie group $S O_{0} (2, 1)$

V. Berestovskii, I. Zubareva

A left-invariant sub-Riemannian metric $d$ on the shortened Lorentz group $S O_{0} (2, 1)$ under the condition that $d$ is right-invariant relative to the orthogonal Lie subgroup $1\oti…

The spectrum of the Laplace operator on connected compact simple rank three Lie groups

Geodesics and shortest arcs of special sub-Riemannian metric on the Lie group SL(2)

Sub-Riemannian distance on the Lie group SO0​(2,1)

Geodesics and shortest arcs of special sub-Riemannian metric on the Lie group $S L (2)$

Sub-Riemannian distance on the Lie group $S O_{0} (2, 1)$