Tzitzéica transformation is a dressing action
Erxiao Wang
Abstract
We classify the simplest rational elements in a twisted loop group, and prove that dressing actions of them on proper indefinite affine spheres give the classical Tzitzéica transformation and its dual. We also give the group point of view of the Permutability Theorem, construct complex Tzitzéica transformations, and discuss the group structure for these transformations.
Create a lesson
Related papers
Scalar curvature on Kähler blow-ups and systolic inequalities
Zehao Sha, Jian Wang
Strict Stability and Strict Minimality of Regular Area-Minimizing Hypercones: A Quantitative Characterization
Gongping Niu
Sharp partial regularity of Hamiltonian stationary and special Lagrangian graphs
Arunima Bhattacharya, Gerard Orriols, Anna Skorobogatova
Torus actions, almost non-negative curvature and fundamental groups
Michael Wiemeler
Optimal Transport and the ABP Method in Higher Codimension
Bang-Xian Han, Zhe-Feng Xu
An isoperimetric characterization of a new ADM-like mass for C0-asymptotically flat manifolds
Luca Benatti, Mattia Fogagnolo