Pascal J. Thomas

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20242026

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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.

math.MG2024

Lipschitzness of the width and diameter functions of convex bodies in $R^{n}$

Oleg Mushkarov, Nikolai Nikolov, Pascal J. Thomas

Lipschitz constants for the width and diameter functions of a convex body in $R^{n}$ are found in terms of its diameter and thickness (maximum and minimum of both functions).…

Visible C2-smooth domains are pseudoconvex

Lipschitzness of the width and diameter functions of convex bodies in Rn

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

Lipschitzness of the width and diameter functions of convex bodies in $R^{n}$