20 citations · 144 across the 48 of their papers we have counts for
53 papers
Kobayashi visibility of strictly convex domains
Nikolai Nikolov, Amar Deep Sarkar
We show that any bounded strictly convex domain in , endowed with the Kobayashi distance, is visible.
On Ulam's Segment Motion Problem
Dragomir Grozev, Nikolai Nikolov
We study extremal rigid motions of a unit segment in , . Given two prescribed positions of a unit segment, we consider continuous motions transforming the ini…
Quasi Triangle Inequality for the Lempert function
Nikolai Nikolov, Pascal J. Thomas
The (unbounded version of the) Lempert function on a domain does not usually satisfy the triangle inequality, but on bounded -smooth strictly…
Boundary regularity for the distance functions, and the eikonal equation
Nikolai Nikolov, Pascal J. Thomas
We study the gain in regularity of the distance to the boundary of a domain in . In particular, we show that if the signed distance function happens to be merely diffe…
Visible -smooth domains are pseudoconvex
Nikolai Nikolov, Ahmed Yekta Ökten, Pascal J. Thomas
We show that a domain that satisfies the visibility property with -smooth boundary is pseudoconvex.
Lipschitzness of the width and diameter functions of convex bodies in
Oleg Mushkarov, Nikolai Nikolov, Pascal J. Thomas
Lipschitz constants for the width and diameter functions of a convex body in are found in terms of its diameter and thickness (maximum and minimum of both functions).…