相对于小林公设具有单位速度的非光滑路径

arXiv - MATH - Metric Geometry Pub Date : 2024-09-05 DOI:arxiv-2409.03709

Gautam Bharali, Rumpa Masanta

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摘要

在本文中，我们研究了一条非恒定绝对连续的路径是否可以被重新解析为相对于小林公设的单位速度这一问题。即使答案是 "是"（并非总是如此），其证明也涉及一些微妙之处。我们将回答上述问题，并讨论小林几何的一个小应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Non-smooth paths having unit speed with respect to the Kobayashi metric

In this paper, we investigate the question of whether a non-constant absolutely continuous path can be reparametrised as being unit speed with respect to the Kobayashi metric. Even when the answer is "Yes," which isn't always the case, its proof involves some subtleties. We answer the above question and discuss a small application to Kobayashi geometry.

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arXiv - MATH - Metric Geometry

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