13 citations · 31 across the 9 of their papers we have counts for
10 papers
Coarse higher medians, symmetric spaces, and convex projective geometry
Mitul Islam, Grazia Rago
We introduce a notion of coarse -median spaces that is a higher-rank analog of Bowditch's coarse median spaces. Our notion is stable under quasi-isometries and recovers Bowditch…
Rigidity of compact rank one symmetric spaces
Chris Connell, Mitul Islam, Thang Nguyen +1
We consider rigidity properties of compact symmetric spaces with metric of rank one. Suppose is another Riemannian metric on with sectional curvature bounded…
Morse properties in convex projective geometry
Mitul Islam, Theodore Weisman
We study properties of "hyperbolic directions" in groups acting cocompactly on properly convex domains in real projective space, from three different perspectives simultaneously: t…
Boundary actions of lattices and local semi-rigidity
Chris Connell, Mitul Islam, Thang Nguyen +1
We consider actions of cocompact lattices in semisimple Lie groups of the noncompact type on their boundaries , a parabolic group, the so-called standard actions. We show…
The structure of relatively hyperbolic groups in convex real projective geometry
Mitul Islam, Andrew Zimmer
In this paper we prove a general structure theorem for relatively hyperbolic groups (with arbitrary peripheral subgroups) acting naive convex co-compactly on properly convex domain…
Convex co-compact groups with one dimensional boundary faces
Mitul Islam, Andrew Zimmer
In this paper we consider convex co-compact subgroups of the projective linear group. We prove that such a group is relatively hyperbolic with respect to a collection of virtually…
Convex co-compact representations of 3-manifold groups
Mitul Islam, Andrew Zimmer
A representation of a finitely generated group into the projective general linear group is called convex co-compact if it has finite kernel and its image acts convex co-compactly o…
Rank One Hilbert Geometries
Mitul Islam
We develop a notion of rank one properly convex domains (or Hilbert geometries) in the real projective space. This is in the spirit of rank one non-positively curved Riemannian man…
Convex co-compact actions of relatively hyperbolic groups
Mitul Islam, Andrew Zimmer
In this paper we consider discrete groups in acting convex co-compactly on a properly convex domain in real projective space. For such groups, we establis…
A flat torus theorem for convex co-compact actions of projective linear groups
Mitul Islam, Andrew Zimmer
In this paper, we consider discrete groups in acting convex co-compactly on a properly convex domain in real projective space. For such groups, we establi…