Alexey V. Podobryaev

2024

[16] D.Stepanov, A.Podobryaev. Numerical Solution of a Left-Invariant Sub-Riemannian Problem on the Group SO(3)
[15] A.V. Podobryaev. Sub-Lorentzian Extremals Defined by an Antinorm
[14] L.V.Lokutsievskiy, A.V.Podobryaev. Existence theorem for sub-Lorentzian problems

2023

[13] A.V. Podobryaev. Homogeneous geodesics in sub-Riemannian geometry

2022

[12] A. Mashtakov, A. Podobryaev, Geodesic Flow of the Sub-Riemannian Structure of Engel Type with Strictly Abnormal Extremals  
[11] A. Podobryaev, Attainable Set for Rank 3 Step 2 Free Carnot Group with Positive Controls

2021

[10] A.V.Podobryaev, Construction of Maxwell points in left-invariant optimal control problems
[9] A.V.Podobryaev, Casimir functions of free nilpotent Lie groups of steps three and four

2020

[8] A.V.Podobryaev, Coadjoint orbits of three-step free nilpotent Lie groups and time-optimal control problem
[7] A. V. Podobryaev, Symmetries in left-invariant optimal control problems

2019

[6] A. V. Podobryaev, Symmetric Extremal Trajectories in Left-Invariant Optimal Control Problems

2018

[5] A. V. Podobryaev, Antipodal Points and Diameter of a Sphere
[4] A. V. Podobryaev, Diameter of the Berger Sphere
[3] A. V. Podobryaev, Yu. L. Sachkov, Symmetric riemannian problem on the group of proper isometries of hyperbolic plane

2017

[2] A. V. Podobryaev, Yu. L. Sachkov, Left-Invariant Riemannian Problems on the Groups of Proper Motions of Hyperbolic Plane and Sphere

2016

[1] A. V. Podobryaev, Yu. L. Sachkov, Cut locus of a left invariant Riemannian metric on SO(3) in the axisymmetric case