An Invitation to Quasihomogeneous Rigid Geometric Structures

Author(s):  
Sorin Dumitrescu
2011 ◽  
Vol 32 (3) ◽  
pp. 941-959 ◽  
Author(s):  
YONG FANG

AbstractIn the first part of this paper, we consider several natural problems about locally homogeneous rigid geometric structures. In particular, we formulate a notion of topological completeness which is adapted to the study of global rigidity of chaotic dynamical systems. In the second part of the paper, we prove the following result: let φ be a C∞ expanding map of a closed manifold. If φ preserves a topologically complete C∞ rigid geometric structure, then φ is C∞ conjugate to an expanding infra-nilendomorphism.


2009 ◽  
Vol 19 (2) ◽  
pp. 520-535 ◽  
Author(s):  
Amos Nevo ◽  
Robert J. Zimmer

1998 ◽  
Author(s):  
John H. Weare ◽  
Ryoichi Kawai ◽  
Beth Ong

Sign in / Sign up

Export Citation Format

Share Document