scholarly journals Convex real projective structures on compact surfaces

1990 ◽  
Vol 31 (3) ◽  
pp. 791-845 ◽  
Author(s):  
William M. Goldman
Keyword(s):  
Projective Structures ◽  
Convex Real Projective Structures ◽  
Compact Surfaces ◽  
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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