99 citations · 104 across the 4 of their papers we have counts for
4 papers
Towards conformally flat isothermic metrics
Adam Szereszewski, Antoni Sym
According to [8] if the stationary Schroedinger equation on n-dim. Riemann space admits R-separation of variables (i.e. separation of variables with a factor R), then the underlyin…
On Darboux's Approach to R-Separability of Variables
Antoni Sym, Adam Szereszewski
We discuss the problem of -separability (separability of variables with a factor ) in the stationary Schrödinger equation on -dimensional Riemann space. We follow the appr…
Bianchi surfaces. Integrability in arbitrary parametrization
Maciej Nieszporski, Antoni Sym
We discuss integrability of normal field equations of arbitrary parametrised Bianchi surfaces. A novel geometric definition of Bianchi surfaces is presented as well as Bäcklund tra…
Isothermic surfaces in $\E^3$ as soliton surfaces
Jan Cieśliński, Piotr Goldstein, Antoni Sym
We show that the theory of isothermic surfaces in $\E^3$ -- one of the oldest branches of differential geometry -- can be reformulated within the modern theory of completely integr…