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math.CV2023★ 1 cited
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…
math.CV2023
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}…