6 citations · 14 across the 4 of their papers we have counts for
5 papers
Local rigidity of affine actions of higher rank groups and lattices
David Fisher, Gregory Margulis
Let be a semisimple Lie group with all simple factors of real rank at least two. Let be a lattice. We prove a very general local rigidity result about actions of or $…
Almost isometric actions, property , and local rigidity
David Fisher, G. A. Margulis
Let be a discrete group with property of Kazhdan. We prove that any Riemannian isometric action of on a compact manifold is locally rigid. We also prove a more ge…
Local Rigidity for Cocycles
David Fisher, G. A. Margulis
In this paper we study perturbations of constant cocycles for actions of higher rank semi-simple algebraic groups and their lattices. Roughly speaking, for ergodic actions, Zimmer'…
Metric Diophantine approximation: The Khintchine--Groshev theorem for non-degenerate manifolds
V. Beresnevich, V. Bernik, D. Kleinbock +1
The main objective of this paper is to prove a Khintchine type theorem for divergence for linear Diophantine approximation on non-degenerate manifolds, which completes earlier resu…
Flows on homogeneous spaces and Diophantine approximation on manifolds
Dmitry Kleinbock, Gregory Margulis
We present a new approach to metric Diophantine approximation on manifolds based on the correspondence between approximation properties of numbers and orbit properties of certain f…