2 papers
math.CV2025
The metric compactification of a Kobayashi hyperbolic complex manifold and a Denjoy--Wolff Theorem
Vikramjeet Singh Chandel, Nishith Mandal
We study the metric compactification of a Kobayashi hyperbolic complex manifold \(\mathcal{X} \) equipped with the Kobayashi distance \( \mathsf{k}_{\mathcal{X}} \). We show that t…
math.CV2024
Geometry of horospheres in Kobayashi hyperbolic domains
Vikramjeet Singh Chandel, Nishith Mandal
For a Kobayashi hyperbolic domain, Abate introduced the notion of small and big horospheres of a given radius at a boundary point with a pole. In this article, we investigate which…