7 citations · 31 across the 40 of their papers we have counts for
40 papers
Samuelson's webs of maximum rank
Vladislav V. Goldberg, Valentin V. Lychagin
The authors found necessary and sufficient conditions for Samuelson's web to be of maximum rank.
Samuelson's Webs
Vladislav V. Goldberg, Valentin V. Lychagin
In the present paper we define Samuelson's webs and their rank. The main result of the paper is the proof that the rank of the Samuelson webs does not exceed 6, as well as finding…
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…
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…