Dressing Actions on Proper Definite Affine Spheres
Differential Geometry
2015-02-20 v2
Abstract
We will first clarify the loop group formulations for both hyperbolic and elliptic definite affine spheres in R^3. Then we classify the rational elements with 3 poles or 6 poles in a real twisted loop group, and compute dressing actions of them on such surfaces. Some new examples with pictures will be produced at last.
Cite
@article{arxiv.1502.04766,
title = {Dressing Actions on Proper Definite Affine Spheres},
author = {Zhicheng Lin and Gang Wang and Erxiao Wang},
journal= {arXiv preprint arXiv:1502.04766},
year = {2015}
}