Schwarz Reflection Geometry I: Continuous Iteration of Reflection
Differential Geometry
2007-05-23 v2 Mathematical Physics
Complex Variables
math.MP
Abstract
Differential equations are derived for a continuous limit of iterated Schwarzian reflection of analytic curves, and solutions are interpreted as geodesics in an infinite-dimensional symmetric space geometry.
Cite
@article{arxiv.math/0106128,
title = {Schwarz Reflection Geometry I: Continuous Iteration of Reflection},
author = {Annalisa Calini and Joel Langer},
journal= {arXiv preprint arXiv:math/0106128},
year = {2007}
}
Comments
Revised introduction, minor corrections, added references. 34 pages, 4 figures