Rigidity of Genuinely Higher-Rank Homogeneous Flows
Open Access
Author:
Vinhage, Kurt William
Graduate Program:
Mathematics
Degree:
Doctor of Philosophy
Document Type:
Dissertation
Date of Defense:
April 28, 2016
Committee Members:
Anatole Katok, Dissertation Advisor/Co-Advisor Federico Rodriguez-Hertz, Committee Chair/Co-Chair Boris Kalinin, Committee Member Nigel David Higson, Committee Member Martin Bojowald, Outside Member
Keywords:
Dynamical Systems Higher-Rank Actions Rigidity Homogeneous Actions
Abstract:
We effectively conclude the local rigidity program for partially hyperbolic accessible
actions. Our methods replace and extend previous ones by circumventing computations
made in Schur multipliers. Instead, we construct a natural topology on H_2(G;Z),
and rely on classical Lie structure theory for central extensions.
