Schwarz Reflection Geometry I: Continuous Iteration of Reflection
微分几何
2007-05-23 v2 数学物理
复变函数
math.MP
摘要
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.
引用
@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}
}
备注
Revised introduction, minor corrections, added references. 34 pages, 4 figures