Symmetric Pseudospherical Surfaces I: General Theory

Details Symmetric Pseudospherical Surfaces I: General Theory Symmetric Pseudospherical Surfaces I: General Theory

2009-07-02

arxiv.org/abs/0907.0480v1

Mathematics

Differential Geometry

21 pages, 3 figures

Scientific paper

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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