On the unification of classical and novel integrable surfaces: I. Differential geometry

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

A novel class of integrable surfaces is recorded. This class of O surfaces is shown to include and generalize classical surfaces such as isothermic, constant mean curvature, minimal, `linear' Weingarten, Guichard and Petot surfaces and surfaces of constant Gaussian curvature. It is demonstrated that the construction of a Backlund transformation for O surfaces leads in a natural manner to an associated parameter-dependent linear representation. The classical pseudosphere and breather pseudospherical surfaces are generated.
19 pages, 2 figures

Keywords

Exactly Solvable and Integrable Systems, Differential Geometry

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/79992

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0104036
 http://arxiv.org/abs/nlin/0104036

Collections

arXiv