Symmetric Pseudospherical Surfaces I: General Theory

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Authors
Dorfmeister, Josef F.
Ivey, Thomas A.
Sterling, Ivan
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Abstract
Description
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.
Comment: 21 pages, 3 figures
Keywords
Mathematics - Differential Geometry, Mathematics - Rings and Algebras, 53A05 (Primary), 35Q53, 22E68 (Secondary)
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