15 citations · 50 across the 28 of their papers we have counts for
4 papers · 1 filter
Spherical, hyperbolic and other projective geometries: convexity, duality, transitions
François Fillastre, Andrea Seppi
Since the end of the 19th century, and after the works of F. Klein and H. Poincaré, it is well known that models of elliptic geometry and hyperbolic geometry can be given using pro…
Area-preserving diffeomorphism of the hyperbolic plane and K-surfaces in Anti-de Sitter space
Francesco Bonsante, Andrea Seppi
We prove that any weakly acausal curve in the boundary of Anti-de Sitter (2+1)-space is the asymptotic boundary of two spacelike -surfaces, one of which is past-convex and t…
Isometry groups and mapping class groups of spherical 3-orbifolds
Mattia Mecchia, Andrea Seppi
We study the isometry groups of compact spherical orientable -orbifolds , where is a finite subgroup of , by determining their isomorphism type. Moreo…
Maximal surfaces in Anti-de Sitter space, width of convex hulls and quasiconformal extensions of quasisymmetric homeomorphisms
Andrea Seppi
We give upper bounds on the principal curvatures of a maximal surface of nonpositive curvature in three-dimensional Anti-de Sitter space, which only depend on the width of the conv…