Groups acting on manifolds: around the Zimmer program

By D. Fisher. 2008

106 citations recorded by the source corpus.

This paper is a survey on the {\em Zimmer program}. In it's broadest form, this program seeks an understanding of actions of large groups on compact manifolds. The goals of this survey are $(1)$ to put in context the original questions and conjectures of Zimmer and Gromov that motivated the program, $(2)$ to indicate the current state of the art on as many of these conjectures and questions as possible and $(3)$ to indicate a wide variety of open problems and directions of research.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/254549afdb65090b093e16b90de130d32ca3f695

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Aaron W. Brown
2. Sebastián Hurtado
3. D. Fisher

In Mathematical Physics

1. Aaron W. Brown
2. Sebastián Hurtado
3. D. Fisher

Citations in the corpus

• Zimmer's conjecture: Subexponential growth, measure rigidity, and strong property (T) (2016, background): “ sense, in Lε, for a very small values of ε>0 [Zim3]. A more sophisticated, non-linear, attempt to average metrics in order to produce invariant smooth metrics was proposed by the second author in [Fis]. Both of these attempts fail to produce good results because even with a measurable (or even s”