N. Nikolov

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20242026

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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.CV2025

Precise estimates of invariant distances on strongly pseudoconvex domains

Åukasz KosiÅski, Nikolai Nikolov, Ahmed Yekta Ãkten

Studying the behavior of real and complex geodesics we provide sharp estimates for the Kobayashi distance, the Lempert function, and the CarathÃ©odory distance on $\mathcal{C}^{2,Î…

math.CV2024

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

Nikolai Nikolov, Ahmed Yekta Ãkten, Pascal J. Thomas

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

Quasi Triangle Inequality for the Lempert function

Precise estimates of invariant distances on strongly pseudoconvex domains

Visible C2-smooth domains are pseudoconvex

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