Rigidity of partially hyperbolic skew products
Talk by Andrey Gogolyev
Speaker invited by: Prof. Dr. Alexander Gorodnik
Date: 21.05.25 Time: 13.30 - 14.30 Room: ETH HG E 33.1
This is joint work with Jon DeWitt. We study skew products over area-preserving Anosov diffeomorphisms on T^2×G, where G is a compact Lie group, given by (x,g)↦(f(x),h(x)⋅g). We establish smooth rigidity; that is, if two such skew products are C^0 conjugate, then they are smoothly conjugate, unless h:T^2→G is cohomologous to a constant and the skew product is, in fact, a product with a translation on G. Interestingly, on twisted principal G-bundles, our approach gives exception-free rigidity.