28 citations · 33 across the 12 of their papers we have counts for
14 papers
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 be a finitely generated group with a finite collection of finitely…
Embeddings of trees of hyperbolic metric spaces and Cannon--Thurston maps
Rakesh Halder, Pranab Sardar
Given a tree of hyperbolic metric spaces a la Bestvina--Feighn (\cite{BF}), and a hyperbolic subspace of with an induced tree of hyperbolic spaces structure over…
On the existence of weakly malnormal quasiconvex subgroups of hyperbolic groups
Rakesh Halder, Pranab Sardar
In this short note, we prove the existence of weakly malnormal, virtually free, quasiconvex subgroups in any nonelementary hyperbolic group. This extends a result of Ilya Kapovich,…
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 with the following properties. 1) Every geodesic ray in converges to a point $ξ_γ\in \p…
On Geometry of Coned-Off Spaces and Cannon-Thurston Maps
Pranab Sardar, Ravi Tomar
A typical question addressed in this paper is the following. Suppose are hyperbolic spaces where is quasiconvex in both and . Let $\HAT{Y}$ and $\H…
Trees of hyperbolic spaces
Michael Kapovich, Pranab Sardar
We give an alternative proof of the Bestvina--Feighn combination theorem for trees hyperbolic spaces and describe uniform quasigeodesics in such spaces. As one of the applications,…
Research announcement: A combination theorem for acylindrical complexes of hyperbolic groups and Cannon-Thurston maps
Pranab Sardar, Ravi Tomar
This is an announcement of some of the results obtained as a part of the second author's Ph.D. thesis. In the first part, we prove that the fundamental group of an acylindrical com…
Propagating quasiconvexity from fibers
Mahan Mj, Pranab Sardar
Let be an exact sequence of hyperbolic groups. Let be a quasiconvex subgroup and let . Under rela…
Pullbacks of metric bundles and Cannon-Thurston maps
Swathi Krishna, Pranab Sardar
In this version of the paper the exposition is improved and gaps in some of the arguments filled following referee comments. We also include an appendix explaining the equivalence…
Corrigendum to "Graphs of hyperbolic groups and a limit set intersection theorem"
Pranab Sardar
The purpose of this article is to point out a mistake in the published paper "Graphs of hyperbolic groups and limit set intersection theorem- Proc AMS, vol 146, no 5, pp 1859--1871…
Graphs of hyperbolic groups and a limit set intersection theorem
Pranab Sardar
Minor changes in the exposition and small corrections on the previous version.
Existence and non-existence of bounded packing in CAT(0) spaces and Gromov hyperbolic spaces
Pranab Sardar
The main result of this paper is that given a group acting geometrically by isometries on a CAT(0) space and a cyclic subgroup of generated by a rank-1 isometry of…
Packing subgroups in solvable groups
Pranab Sardar
We show that any subgroup of a (virtually) nilpotent-by-polycyclic group satisfies the bounded packing property of Hruska-Wise. In particular, the same is true about metabelian gro…
A Combination Theorem for Metric Bundles
Mahan Mj, Pranab Sardar
We define metric bundles/metric graph bundles which provide a purely topological/coarse-geometric generalization of the notion of trees of metric spaces a la Bestvina-Feighn in the…