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Invariant metrics of model domains near pseudoconcave points

Complex Variables 2026-05-05 v1

Abstract

We give precise estimates of some holomorphically invariant infinitesimal metrics near a pseudoconcave points in a wide family of ``model'' domains for that situation in C2\mathbb C^2. This extends to metrics (rather distances) the authors' previous results from arXiv:2503.19754 and also takes into account defining functions more general than just power functions.

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Cite

@article{arxiv.2605.01972,
  title  = {Invariant metrics of model domains near pseudoconcave points},
  author = {Pascal J. Thomas and Nikolai Nikolov},
  journal= {arXiv preprint arXiv:2605.01972},
  year   = {2026}
}

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12 pages