11 citations · 11 across the 3 of their papers we have counts for
4 papers
Voss Surfaces in Sine-Gordon Hierarchies
Michal Marvan
We explore a method, initiated by Guichard in 1890, which allows to generate sequences of Voss surfaces, starting from an arbitrarily chosen pseudospherical surface and a seed solu…
On Integrable Nets in General and Concordant Chebyshev Nets in Particular
Michal Marvan
We consider general integrable curve nets in Euclidean space as a particular integrable geometry invariant with respect to rigid motions and net-preserving reparameterisations. For…
Differential invariants of generic hyperbolic Monge--Ampère equations
Michal Marvan, Alexandre M. Vinogradov, Valery A. Yumaguzhin
In this paper basic differential invariants of generic hyperbolic Monge--Ampère equations with respect to contact transformations are constructed and the equivalence problem for th…
Coverings and integrability of the Gauss-Mainardi-Codazzi equations
Joseph Krasil'shchik, Michal Marvan
Using covering theory approach (zero-curvature representations with the gauge group SL2), we insert the spectral parameter into the Gauss-Mainardi-Codazzi equations in Tchebycheff…