Topological Entropy and bulging deformation of real projective structures on surface

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.

23 pages, 3 figures, some mistakes are corrected in Theorem 1.2

References in corpus (1)

• Bulging deformations of convex $R{P}^2$-manifolds

Cited by in corpus (2)

• Degeneration of strictly convex real projective structures on surface
• Volume of the moduli space of unmarked bounded positive convex ${\mathbb{RP}}^2$ structures