8 citations · 11 across the 3 of their papers we have counts for
4 papers
Determination of topological properties of thin samples by the van der Pauw method
Krzysztof R. Szymański, Cezary J. Walczyk, Jan L. Cieśliński
We solve the problem of determining basic topological properties of flat samples by performing measurements on their outer edge. The global maximum of four probe resistances shows…
Group interpretation of the spectral parameter. The case of isothermic surfaces
Jan L. Cieśliński, Artur Kobus
It is well known that in some cases the spectral parameter has a group interpretation. We discuss in detail the case of Gauss-Codazzi equations for isothermic surfaces immersed in…
On geometry of the scator space
Artur Kobus, Jan L. Cieśliński
We consider the scator space - a hypercomplex, non-distributive hyperbolic algebra introduced by Fernández-Guasti and Zaldívar. We discuss isometries of the scator space and find c…
The Darboux-Bianchi-Bäcklund transformation and soliton surfaces
Jan Cieśliński
In the first part of the paper we present the dressing method which generates multi-soliton solutions to integrable systems of nonlinear partial differential equations. We compare…