86 citations · 543 across the 59 of their papers we have counts for
30 papers · 1 filter
A note on properly discontinuous actions
Michael Kapovich
We compare various notions of proper discontinuity for group actions. We also discuss fundamental domains and criteria for cocompactness.
Domains of discontinuity of Lorentzian affine group actions
Michael Kapovich, Bernhard Leeb
We prove nonemptyness of domains of proper discontinuity of Anosov groups of affine Lorentzian transformations.
Klein-Maskit combination theorem for Anosov subgroups: Amalgams
Subhadip Dey, Michael Kapovich
The classical Klein-Maskit combination theorems provide sufficient conditions to construct new Kleinian groups using old ones. There are two distinct but closely related combinatio…
Klein-Maskit combination theorem for Anosov subgroups: Free products
Subhadip Dey, Michael Kapovich
We prove a generalization of the classical Klein-Maskit combination theorem, in the free product case, in the setting of Anosov subgroups. Namely, if and are Anosov sub…
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,…
A note on complex-hyperbolic Kleinian groups
Subhadip Dey, Michael Kapovich
Let be a discrete group of isometries acting on the complex hyperbolic -space . In this note, we prove that if is convex-cocompact, torsion-free…