Schwarz Reflection Geometry I: Continuous Iteration of Reflection

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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.
Revised introduction, minor corrections, added references. 34 pages, 4 figures

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Differential Geometry, Mathematical Physics, Complex Variables, 53C35, 53A30, 30D05

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http://salesiana.dossiersoluciones.com/handle/123456789/61666

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0106128
 http://arxiv.org/abs/math/0106128

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arXiv