Pranab Sardar

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math.GT2026

A Characterization of Relative Hyperbolicity via Morse and Contracting Boundaries

Vyshnav PT, Pranab Sardar, Rana Sardar

We prove the following boundary-theoretic characterization of relatively hyperbolic groups. Let $G$ be a finitely generated group with a finite collection $H$ of finitely…

math.GT2026

Embeddings of trees of hyperbolic metric spaces and Cannon--Thurston maps

Rakesh Halder, Pranab Sardar

Given a tree of hyperbolic metric spaces $I ¨ : X \to T$ a la Bestvina--Feighn (\cite{BF}), and a hyperbolic subspace $Y$ of $X$ with an induced tree of hyperbolic spaces structure ove…

math.GT2025

Landing rays and ray Cannon-Thurston maps

Rakesh Halder, Mahan Mj, Pranab Sardar

In this paper, we describe a procedure to construct pairs of hyperbolic groups $H < G$ with the following properties. 1) Every geodesic ray $I^^{3}$ in $H$ converges to a point $Î¾_Î³\in…