activity
20192022
most citedTotally umbilic surfaces in hyperbolic 3-manifolds of finite volume

2 citations · 2 across the 2 of their papers we have counts for

collaborators

3 papers

math.DG2022

Geometrization in Geometry

Izabella Muraro de Freitas, Álvaro Krüger Ramos

So far, the most magnificent breakthrough in mathematics in the 21st century is the Geometrization Theorem, a bold conjecture by William Thurston (generalizing Poincaré's Conjectur…

math.DG2020★ 2 cited

Totally umbilic surfaces in hyperbolic 3-manifolds of finite volume

Colin Adams, William H. Meeks, Alvaro K. Ramos

We construct for every connected surface of finite negative Euler characteristic and every , a hyperbolic 3-manifold of finite volume and a proper, two-si…

math.DG2019

On the asymptotic Plateau problem for area minimizing surfaces in

Patrícia Klaser, Ana Menezes, Álvaro Ramos

We prove some existence and non-existence results for complete area minimizing surfaces in the homogeneous space . As one of our main results, we present sufficie…