Dressing actions on proper definite affine spheres
Copyright policy )Dressing actions on proper definite affine spheres
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.
- HONG KONG POLYTECHNIC UNIVERSITY China (People's Republic of)
- Chinese Academy of Science China (People's Republic of)
- Shandong Women’s University China (People's Republic of)
- Chinese Academy of Sciences (中国科学院) China (People's Republic of)
- Wuhan Institute of Physics and Mathematics China (People's Republic of)
Mathematics - Differential Geometry, Tzitzeica equation, Affine differential geometry, Monge-Ampère equation, Dressing action, PDEs in connection with fluid mechanics, Monge-Ampere equation, Differential Geometry (math.DG), definite affine sphere, FOS: Mathematics, dressing action, Definite affine sphere, Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry
Mathematics - Differential Geometry, Tzitzeica equation, Affine differential geometry, Monge-Ampère equation, Dressing action, PDEs in connection with fluid mechanics, Monge-Ampere equation, Differential Geometry (math.DG), definite affine sphere, FOS: Mathematics, dressing action, Definite affine sphere, Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry
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