关于庞巴赫度量下速度为单位的非光滑路径及其应用
度量几何
2026-01-09 v4 复变函数
摘要
我们研究了非常数绝对连续路径能否重新参数化为关于庞巴赫度量的单位速度且保持绝对连续性的问题。即使答案是“是”，这并非总是如此，其证明仍涉及若干细微之处。我们回答了上述问题，并讨论了若干应用。
引用
@article{arxiv.2409.03709,
title = {Non-smooth paths having unit speed with respect to the Kobayashi metric, and their applications},
author = {Gautam Bharali and Rumpa Masanta},
journal= {arXiv preprint arXiv:2409.03709},
year = {2026}
}
备注
17 pages; significant expansion of v3; added a section on applications (Secn. 6) together with two sections dedicated to their proofs (Secns. 7 and 8); provided a more conceptual proof, with fuller details, of Prop. 4.1. This version differs from the final accepted version; the version of record will appear in J. Geom. Anal. Comments still welcome!