Non-smooth paths having unit speed with respect to the Kobayashi metric, and their applications

Gautam Bharali; Rumpa Masanta

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arXiv · 2409.03709

Non-smooth paths having unit speed with respect to the Kobayashi metric, and their applications

Gautam Bharali·Rumpa Masanta

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Abstract

We investigate the question of whether a non-constant absolutely continuous path can be reparametrized to be of unit speed with respect to the Kobayashi metric and be absolutely continuous. Even when the answer is "Yes," which isn't always the case, its proof involves some subtleties. We answer the above question and discuss several applications.

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BibTeX RIS

Gautam Bharali, Rumpa Masanta. 2024-09-05. Non-smooth paths having unit speed with respect to the Kobayashi metric, and their applications. https://arxiv.org/abs/2409.03709

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