Symmetric Pseudospherical Surfaces I: General Theory
Differential Geometry
2009-07-06 v1 Rings and Algebras
Abstract
We apply the loop group method developed by Zakharov-Shabat, Terng-Uhlenbeck and Toda to the study of symmetries of pseudospherical surfaces in R^3. In this paper (part I) we consider the general theory, while in a second paper (part II) we will study special cases.
Cite
@article{arxiv.0907.0480,
title = {Symmetric Pseudospherical Surfaces I: General Theory},
author = {Josef F. Dorfmeister and Thomas A. Ivey and Ivan Sterling},
journal= {arXiv preprint arXiv:0907.0480},
year = {2009}
}
Comments
21 pages, 3 figures