scholarly journals Rigid geometric structures, isometric actions, and algebraic quotients

2011 ◽  
Vol 157 (1) ◽  
pp. 153-185 ◽  
Author(s):  
Jinpeng An
Keyword(s):  
Geometric Structures ◽  
Isometric Actions ◽  
Rigid Geometric Structures

Invariant rigid geometric structures and expanding maps

2011 ◽  
Vol 32 (3) ◽  
pp. 941-959 ◽  
Author(s):  
YONG FANG
Keyword(s):  
Dynamical Systems ◽  
Geometric Structure ◽  
Closed Manifold ◽  
Expanding Maps ◽  
Geometric Structures ◽  
Global Rigidity ◽  
Chaotic Dynamical Systems ◽  
Expanding Map ◽  
Locally Homogeneous ◽  
Rigid Geometric Structures

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.

scholarly journals Invariant Rigid Geometric Structures and Smooth Projective Factors

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

Optimization of Geometric Structures of New Materials on Parallel Computers

1998 ◽  
Author(s):  
John H. Weare ◽  
Ryoichi Kawai ◽  
Beth Ong
Keyword(s):  
Parallel Computers ◽  
New Materials ◽  
Geometric Structures
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