4 papers
On weak Wolff--Denjoy theorem for certain non-convex domains
Vikramjeet Singh Chandel, Sanjoy Chatterjee, Chandan Sur
In this paper, we provide a class of domains in , such that every holomorphic self-map of that domain either has a fixed point or the sequence of iterates is compactl…
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…
Horofunction compactifications and local Gromov model domains
Vikramjeet Singh Chandel, Sushil Gorai, Anwoy Maitra +1
We explore the horofunction compactification of complete hyperbolic domains in complex Euclidean space equipped with the Kobayashi distance. We provide a sufficient condition under…
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…