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arXiv · 0907.0480

Symmetric Pseudospherical Surfaces I: General Theory

Josef F. Dorfmeister·Thomas A. Ivey·Ivan Sterling
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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.

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Josef F. Dorfmeister, Thomas A. Ivey, Ivan Sterling. 2009-07-02. Symmetric Pseudospherical Surfaces I: General Theory. https://arxiv.org/abs/0907.0480

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