Structural Stability for Fibrewise Anosov Diffeomorphisms on Principal Torus Bundles

Structural Stability for Fibrewise Anosov Diffeomorphisms on Principal Torus Bundles

Explore the concept of structural stability for fibrewise Anosov diffeomorphisms on principal torus bundles in this 44-minute lecture by Danyu Zhang from The Ohio State University. Delve into a parametrized version of the Franks-Manning classification, examining how every fibrewise Anosov diffeomorphism on a principal torus bundle is topologically conjugate to a map that is linear in the fibres. Learn about fibre-preserving diffeomorphisms on fibre bundles and their invariant hyperbolic splitting along the fibres. Gain insights into this advanced topic in dynamical systems as part of the Simons Semester on Dynamics series.