7 citations · 10 across the 5 of their papers we have counts for
5 papers
On non-visibility of Kobayashi geodesics and the geometry of the boundary
Ahmed Yekta Ökten
We show that on convex domains with sufficiently smooth boundary the limit set of non-visible Kobayashi geodesics are contained in a complex face. In two dimensions, this implies t…
Precise estimates of invariant distances on strongly pseudoconvex domains
Łukasz Kosiński, Nikolai Nikolov, Ahmed Yekta Ökten
Studying the behavior of real and complex geodesics we provide sharp estimates for the Kobayashi distance, the Lempert function, and the Carathéodory distance on $\mathcal{C}^{2,α}…
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…
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…
A Schwarz-type lemma for squeezing function on planar domains
Ahmed Yekta Ökten
With an easy application of maximum principle, we establish a Schwarz-type lemma for squeezing function on finitely connected planar domains that directly yields the explicit formu…