I. Zubareva

activity

20142026

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

7 citations · 10 across the 14 of their papers we have counts for

collaborators

15 papers

physics.gen-ph2026

Noether's theorem for the conditional principle of least action

S. L. Lyakhovich, S. B. Sayapin, I. A. Zubareva

We consider the problem of a conditional extremum of an action in a class of fields constrained by differential equations. For this setup, we propose an extension of Noether's firs…

math.DG2023

Sub-Lorentzian geodesics on $GL^{+} (2, C)$ with the generating space of Hermitian matrices in the Lie algebra $gl^{+} (2, C)$

Valera Berestovskii, Irina Zubareva

The Lie subgroup $GL^{+} (2, C)$ of all matrices in the Lie group $GL (2, C)$ with positive real determinant is equipped with a left-invariant sub-Lorentz…

math.DG2021

Abnormal extremals of left-invariant sub-Finsler quasimetrics on four-dimensional Lie groups with three-dimensional generating distributions

Valera Berestovskii, Irina Zubareva

We find three-dimensional subspaces of four-dimensional connected Lie algebras, generating these algebras, and abnormal extremals on connected Lie groups with these Lie algebras an…

math.DG2020

Abnormal extremals of left-invariant sub-Finsler quasimetrics on four-dimensional Lie groups

Valera Berestovskii, Irina Zubareva

Abnormal extremals on four-dimensional connected Lie groups with left-invariant sub-Finsler quasimetric, defined by a seminorm on a two-dimensional subspace of the Lie algebra gene…

math.DG2020

Extremals of a left-invariant sub-Finsler quasimetric on the Cartan group

Valera Berestovskii, Irina Zubareva

Using the Pontryagin Maximum Principle for the time-optimal problem in coordinates of the first kind, we find extremals of abitrary left-invariant sub-Finsler quasimetric on the Ca…

math.DG2020

Extremals of a left-invariant sub-Finsler metric on the Engel group

Valera Berestovskii, Irina Zubareva

The authors found extremals of arbitrary left-invariant sub-Finsler metric on the Engel group defined by a distribution of rank two. They use for this the Pontryagin Maximum Princi…

math.DG2019

Pontryagin maximum principle, (co)adjoint representation, and normal geodesics of left-invariant (sub-)Finsler metrics on Lie groups

Valera Berestovskii, Irina Zubareva

On the ground of origins of the theory of Lie groups and Lie algebras, their (co)adjoint representations, and the Pontryagin maximum principle for the time-optimal problem are give…

math.DG2016

The spectrum of the Laplace operator on connected compact simple rank four Lie groups. I

Irina Zubareva

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

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…

math.DG2014★ 2 cited

Sub-Riemannian distance on Lie groups $S U (2)$ and $S O (3)$

V. Berestovskii, I. Zubareva

The authors compute distances between arbitrary elements of Lie groups SU(2) and SO(3) for special left-invariant sub-Riemannian metrics $ρ$ and $d$ . To compute distances for the s…

math.DG2014★ 7 cited

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

Valera Berestovskii, Irina Zubareva

The authors find geodesics, shortest arcs, diameter, cut locus, and conjugate sets for left-invariant sub-Riemannian metric on the Lie group SO(3), under condition that the metric…

math.DG2014

(Locally) shortest arcs of special sub-Riemannian metric on the Lie group $S O_{0} (2, 1)$

Valera Berestovskii

The author finds geodesics, shortest arcs, cut locus, and conjugate sets for left-invariant sub-Riemannian metric on the Lie group $S O_{0} (2, 1)$ under the condition that the metric i…

math.DG2014

Correct observer's event horizon in de Sitter space-time

Valera Berestovskii, Irina Zubareva

A correct description of the past and the future event horizons for timelike geodesics in de Sitter space-time of the first kind is given.

Noether's theorem for the conditional principle of least action

Sub-Lorentzian geodesics on GL+(2,C) with the generating space of Hermitian matrices in the Lie algebra gl+(2,C)

Abnormal extremals of left-invariant sub-Finsler quasimetrics on four-dimensional Lie groups with three-dimensional generating distributions

Abnormal extremals of left-invariant sub-Finsler quasimetrics on four-dimensional Lie groups

Extremals of a left-invariant sub-Finsler quasimetric on the Cartan group

Extremals of a left-invariant sub-Finsler metric on the Engel group

Pontryagin maximum principle, (co)adjoint representation, and normal geodesics of left-invariant (sub-)Finsler metrics on Lie groups

The spectrum of the Laplace operator on connected compact simple rank four Lie groups. I

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)

Sub-Riemannian distance on Lie groups SU(2) and SO(3)

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

(Locally) shortest arcs of special sub-Riemannian metric on the Lie group SO0​(2,1)

Correct observer's event horizon in de Sitter space-time

Sub-Lorentzian geodesics on $GL^{+} (2, C)$ with the generating space of Hermitian matrices in the Lie algebra $gl^{+} (2, C)$

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

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

Sub-Riemannian distance on Lie groups $S U (2)$ and $S O (3)$

(Locally) shortest arcs of special sub-Riemannian metric on the Lie group $S O_{0} (2, 1)$