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The Darboux-Bianchi transformation for isothermic surfaces. Classical results versus the soliton approach by Jan Cieśliński is a Mathematics article available to read on EtoBox.
What is The Darboux-Bianchi transformation for isothermic surfaces. Classical results versus the soliton approach about?
We show that theory of soliton surfaces, modified in an appropriate way, can be applied also to isothermic immersions in I?. In this case the so called Sym's formula gives an explicit expression both for the isothermic immersion with prescribed fundamental forms and its Christoffel transform (dual surface). Then, applying methods of the theory of solitons, we construct the Darboux matrix for isothermic immersions reconstructing in this way the classical Darboux-Bianchi transformation for isothermic surfaces.
Who reads The Darboux-Bianchi transformation for isothermic surfaces. Classical results versus the soliton approach?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Jan Cieśliński
- Publisher
- Elsevier Science; Elsevier ; Elsevier BV (ISSN 0926-2245)
- Published
- 1997
- Language
- EN
- Field
- Mathematics (Physical Sciences)