20 citations · 144 across the 48 of their papers we have counts for
6 papers · 2 filters
Strong localizations of the Kobayashi distance
Nikolai Nikolov, Ahmed Yekta Ökten
Recently, the visibility property of Kobayashi (almost) geodesics has been used to provide localizations of the Kobayashi distance. In this note, we provide sufficient growth condi…
Local and global notions of visibility with respect to Kobayashi distance, a comparison
Nikolai Nikolov, Ahmed Yekta Ökten, Pascal J. Thomas
In this note, we introduce the notion of visible boundary points with respect to Kobayashi distance for domains in complex euclidean space. Following the work of Sarkar, we obtain…
Comparison and localization of invariant functions on strongly pseudoconvex domains
Nikolai Nikolov
Comparison and localization results for the Lempert function, the Carathéodory distance and their infinitesimal forms on strongly pseudoconvex domains are obtained. Related results…
Lower estimates of the Kobayashi distance and limits of complex geodesics
Łukasz Kosiński, Nikolai Nikolov
It is proved for a strongly pseudoconvex domain in with -smooth boundary that any complex geodesic through every two close points of sufficient…
Strongly Goldilocks Domains, quantitative Visibility, and Applications
Nikolai Nikolov, Ahmed Yekta Ökten
In the last decade, G. Bharali and A. Zimmer defined a class of domains called Goldilocks domains and they showed that such a domain satisfies a visibility condition with respect t…
Local and global visibility and Gromov hyperbolicity of domains with respect to the Kobayashi distance
Filippo Bracci, Hervé Gaussier, Nikolai Nikolov +1
We introduce the notion of locally visible and locally Gromov hyperbolic domains in . We prove that a bounded domain in is locally visible and locally Gr…