Symmetric Pseudospherical Surfaces I: General Theory

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.

21 pages, 3 figures

References in corpus (1)

• Loop Group Decompositions in Almost Split Real Forms and Applications to Soliton Theory and Geometry