9 citations · 20 across the 15 of their papers we have counts for
7 papers · 2 filters
On a class of linearizable planar geodesic webs
Vladislav V. Goldberg, Valentin V. Lychagin
We present a complete description of a class of linearizable planar geodesic webs which contain a parallelizable 3-subweb.
Geodesic Webs of Hypersurfaces
Vladislav V. Goldberg, Valentin V. Lychagin
In the present paper we study geometric structures associated with webs of hypersurfaces. We prove that with any geodesic (n+2)-web on an n-dimensional manifold there is naturally…
Feedback Equivalence of 1-dimensional Control Systems of the 1-st Order
Valentin Lychagin
The problem of local feedback equivalence for 1-dimensional control systems of the 1-st order is considered. The algebra of differential invariants and criteria for the feedback eq…
Feedback Differential Invariants
Valentin Lychagin
The problem of feedback equivalence for control systems is considered. An algebra of differential invariants and criteria for the feedback equivalence for regular control systems a…
On Rank Problems for Planar Webs and Projective Structures
Vladislav V. Goldberg, Valentin V. Lychagin
We present old and recent results on rank problems and linearizability of geodesic planar webs.
Geodesic Webs and PDE Systems of Euler Equations
Vladislav V. Goldberg, Valentin V. Lychagin
We find necessary and sufficient conditions for the foliation defined by level sets of a function f(x_{1},...,x_{n}) to be totally geodesic in a torsion-free connection and apply t…