activity
20132026
most citedArea-preserving diffeomorphism of the hyperbolic plane and K-surfaces in Anti-de Sitter space

15 citations · 50 across the 28 of their papers we have counts for

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Showing 2020Show all

6 papers · 1 filter

math.DG2020★ 3 cited

Affine deformations of quasi-divisible convex cones

Xin Nie, Andrea Seppi

For any subgroup of obtained by adding a translation part to a subgroup of which is the fundamental group…

math.DG2020

On the Gauss map of equivariant immersions in hyperbolic space

Christian El Emam, Andrea Seppi

Given an oriented immersed hypersurface in hyperbolic space , its Gauss map is defined with values in the space of oriented geodesics of , which…

math.GT2020★ 2 cited

Character varieties of a transitioning Coxeter 4-orbifold

Stefano Riolo, Andrea Seppi

In 2010, Kerckhoff and Storm discovered a path of hyperbolic 4-polytopes eventually collapsing to an ideal right-angled cuboctahedron. This is expressed by a deformation of the inc…

math.GT2020★ 3 cited

On the diffeomorphism type of Seifert fibered spherical 3-orbifolds

Mattia Mecchia, Andrea Seppi

It is well known that, among closed spherical Seifert three-manifolds, only lens spaces and prism manifolds admit several Seifert fibrations which are not equivalent up to diffeomo…

math.GT2020

Examples of geometric transition in low dimensions

Andrea Seppi

The purpose of this note is to discuss examples of geometric transition from hyperbolic structures to half-pipe and Anti-de Sitter structures in dimensions two, three and four. As…

math.GT2020

Anti-de Sitter geometry and Teichmüller theory

Francesco Bonsante, Andrea Seppi

The aim of these notes is to provide an introduction to Anti-de Sitter geometry, with special emphasis on dimension three and on the relations with Teichmüller theory, whose study…