Rigidity Phenomena of Group Actions on a Class of Nilmanifolds and Anosov R^n Actions
An action of a group Г on a manifold M is a homomorphism ρ from Г to Diff(M). ρo is locally rigid if the nearby homomorphism ρ, ρ(γ) = h o ρ0, (γ) 0h^(-1) for some h Є Diff(M) and for all, γ Є Г. In other words, ρ0 is isolated from other actions up to a smooth conjugation. In this thesis we stu...
Internet
https://thesis.library.caltech.edu/6538/1/Qian_n_1992.pdfQian, Nantian (1992) Rigidity Phenomena of Group Actions on a Class of Nilmanifolds and Anosov R^n Actions. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/M7JX-ZV02. https://resolver.caltech.edu/CaltechTHESIS:07122011-075820059 <https://resolver.caltech.edu/CaltechTHESIS:07122011-075820059>