scholarly journals A convexity theorem for real projective structures

2015 ◽  
Vol 182 (1) ◽  
pp. 1-41 ◽  
Author(s):  
Jaejeong Lee
Keyword(s):  
Convexity Theorem ◽  
Projective Structures ◽  
Real Projective Structures

scholarly journals Continuity of the SRB entropy of convex projective structures

2020 ◽  
pp. 1-13
Author(s):  
PATRICK FOULON ◽  
INKANG KIM
Keyword(s):  
Continuous Function ◽  
Topological Entropy ◽  
Projective Structures ◽  
Strictly Convex ◽  
Convex Real Projective Structures ◽  
Real Projective Structures

The space of convex projective structures has been well studied with respect to the topological entropy. But, to better understand the geometry of the structure, we study the entropy of the Sinai–Ruelle–Bowen measure and show that it is a continuous function on the space of strictly convex real projective structures.

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