Geodesic

Tome 21 (2020) no. 2

Sommaire

From the editor
Anatolii Timofeevich Fomenko
p. 5-7
Liouville classification of integrable geodesic flows on a projective plane in a potential field
p. 10-25
On the properties of the cobordism group of stably-framed immersions in codimension~$k$
p. 26-36
Peculiar spaces for relativistic fields
p. 37-42
PMP, (co)adjoint representation, and normal geodesics, of left-invariant (sub-)Finsler metric on Lie groups
p. 43-64
Ideal right-angled polyhedra in Lobachevsky space
p. 65-83
Differential inclusions with mean derivatives, having aspherical right-hand sides
p. 84-93
Mapping degrees between homotopy space forms
p. 94-108
On nonlocal modified gravity
p. 109-138
On the retracts of finite-dimensional spaces, generated by coercive mappings
p. 139-143
Optimal feedback control for one motion model of a nonlinearly viscous fluid
p. 144-158
On the values of hypergeometric functions
p. 159-168
Gromov--Hausdorff distances to simplexes and some applications to discrete optimisation
p. 169-189
Estimation of the Inclusive Development Index Based on the REL-PCANet Neural Network Model
p. 190-206
Generalized chessboard complexes and discrete Morse theory
p. 207-227
Classification of saddle-focus singularities
p. 228-243
Bifurcations of integrable mechanical systems with magnetic field on surfaces of revolution
p. 244-265
About new examples of Serre curves
p. 266-274
Quantum integrability for the Beltrami--Laplace operators of projectively equivalent metrics of arbitrary signatures
p. 275-289
Recognition and tabulation of $3$-manifolds up to complexity~$13$
p. 290-300
On topological characteristics for some classes of multivalued mappings
p. 301-319
Integrable systems in planar robotics
p. 320-340
On traveling waves in systems of absolutely elastic particles on a straight line
p. 341-361
Classification of $k$-forms on $\mathbb{R}^n$ and the existence of associated geometry on manifolds
p. 362-382
On the Mishchenko--Fomenko hypothesis for a generalized oscillator and Kepler system
p. 383-402
The mean-value theorem for trigonometric sums on the sequence of binomial type polynomials
p. 403-416