First cohomology, rigidity and deformations of isometric group actions

Details First cohomology, rigidity and deformations of isometric group actions First cohomology, rigidity and deformations of isometric group actions

2004-11-05

arxiv.org/abs/math/0411121v5

Mathematics

Differential Geometry

New version, see also math/0505520

Scientific paper

In 1964, Weil gave a criterion for local rigidity of a homomorphism from a finitely generated group $\G$ to a finite dimensional Lie group $G$ in terms of cohomology of $\G$ with coefficients in the Lie algebra of $G$. This note announces a generalization of Weil's result to a class of homomorphisms into certain infinite dimensional Lie groups, namely diffeomorphism groups of compact manifolds. This gives a criterion for local rigidity of group actions which implies local rigidity of: $(1)$ all isometric actions of groups with property $(T)$, $(2)$ all isometric actions of irreducible lattices in products of simple Lie groups and $(3)$ a certain class of isometric actions of a certain class of cocompact lattices in SU(1,n).

Affiliated with

Also associated with

No associations

Rating

First cohomology, rigidity and deformations of isometric group actions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with First cohomology, rigidity and deformations of isometric group actions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and First cohomology, rigidity and deformations of isometric group actions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-498518