The complex landslide flow and the method of integrable systems
Differential Geometry
2025-02-19 v3
Abstract
We investigate a connection between the complex landslide flow, defined on a pair of Teichm\"uller spaces, and the integrable system approach to harmonic maps into a symmetric space. We will prove that the holonomy of the complex landslide flow can be derived from the holonomy of the family of flat connections determined by a harmonic map into the hyperbolic two-space.
Keywords
Cite
@article{arxiv.2404.13966,
title = {The complex landslide flow and the method of integrable systems},
author = {Shimpei Kobayashi},
journal= {arXiv preprint arXiv:2404.13966},
year = {2025}
}