Pascal J. Thomas

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20242026

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5 papers · 1 filter

math.CV2026

Invariant metrics of model domains near pseudoconcave points

Pascal J. Thomas, Nikolai Nikolov

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 $\mathbb C…

math.CV2025

Optimal bounds for the Kobayashi distance near $C^{2}$ -smooth boundary points

Nikolai Nikolov, Pascal J. Thomas

It is shown that the optimal upper and lower bounds for the Kobayashi distance near $C^{2, α}$ -smooth strongly pseudoconvex boundary points obtained in L. Kosinski, N. Niko…

math.CV2025

Removable sets for pseudoconvexity for weakly smooth boundaries

Quang Dieu Nguyen, Pascal J. Thomas

We show that for bounded domains in $C^{n}$ with $C^{1, 1}$ smooth boundary, if there is a closed set $F$ of $2 n - 1$ -Lebesgue measure $0$ such that $\partial Ω\setminu…

math.CV2025

Quasi Triangle Inequality for the Lempert function

Nikolai Nikolov, Pascal J. Thomas

The (unbounded version of the) Lempert function $l_{D}$ on a domain $D \subset C^{d}$ does not usually satisfy the triangle inequality, but on bounded $C^{2}$ -smooth strictly…

math.CV2024

Visible $C^{2}$ -smooth domains are pseudoconvex

Nikolai Nikolov, Ahmed Yekta Ökten, Pascal J. Thomas

We show that a domain that satisfies the visibility property with $C^{2}$ -smooth boundary is pseudoconvex.

Invariant metrics of model domains near pseudoconcave points

Optimal bounds for the Kobayashi distance near C2-smooth boundary points

Removable sets for pseudoconvexity for weakly smooth boundaries

Quasi Triangle Inequality for the Lempert function

Visible C2-smooth domains are pseudoconvex

Optimal bounds for the Kobayashi distance near $C^{2}$ -smooth boundary points

Visible $C^{2}$ -smooth domains are pseudoconvex