Topological Entropy and bulging deformation of real projective structures on surface

2016/08/24 by Patrick Foulon, Foulon, Patrick, Инканг Ким +1 · 1 citation
Mathematics · #Analytic and geometric function theory #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.1608.06799

openalex publication_date 2016/08/24 · openalex created_date 2016/09/16 · openalex updated_date 2026/07/28

Abstract

In this paper we study the deformation of strictly convex real projective structures on a closed surface. Specially we study the deformation in terms of the entropy on bulging deformations. As a byproduct we construct a sequence of divergent structures whose topological entropy converges to a designated number between 0 and 1.

Citations

• Bulging deformations of convex RP²-manifolds

Cited by

• Degeneration of strictly convex real projective structures on surface

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