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<p>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.</p>

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

  • 期刊论文

  • 发表日期：

    2026年1月30日

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  • Gautam Bharali,
  • Rumpa Masanta

摘要

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.