Isothermic surfaces in $\E^3$ as soliton surfaces

Antoni Sym (Warsaw University; Bia{\l}ystok; Institute of Physics; Institute of Theoretical Physics; Jan Cie\'sli\'nski (Warsaw University Division in Bia{\l}ystok; Piotr Goldstein (Soltan Institute for Nuclear Studies; Poland); Warsaw

REVIEW

Isothermic surfaces in E³ as soliton surfaces

Not yet reviewed by Pith; the record is open.

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv solv-int/9502004 v2 submitted 1995-02-14 solv-int dg-gamath.DGnlin.SI

Isothermic surfaces in E³ as soliton surfaces

Jan Cie\'sli\'nski (Warsaw University Division in Bia{\l}ystok , Institute of Physics , Bia{\l}ystok , Poland) , Piotr Goldstein (Soltan Institute for Nuclear Studies , Warsaw , Antoni Sym (Warsaw University , Institute of Theoretical Physics This is my paper

classification solv-int dg-gamath.DGnlin.SI

keywords solitonsurfacestheoryisothermicgeometryappliedassociatedavailable

0 comments

read the original abstract

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 integrable (soliton) systems. This enables one to study the geometry of isothermic surfaces in $\E^3$ by means of powerful spectral methods available in the soliton theory. Also the associated non-linear system is interesting in itself since it displays some unconventional soliton features and, physically, could be applied in the theory of infinitesimal deformations of membranes.

Isothermic surfaces in E³ as soliton surfaces

discussion (0)