2 citations · 7 across the 6 of their papers we have counts for
7 papers
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…
Modifications Preserving Hyperbolicity of Link Complements
Colin Adams, William H. Meeks, Álvaro K. Ramos
Given a link in a 3-manifold such that the complement is hyperbolic, we provide two modifications to the link, called the chain move and the switch move, that preserve hyperbolicit…
A nonexistence result for CMC surfaces in hyperbolic 3-manifolds
William H. Meeks, Alvaro K. Ramos
We prove that a complete hyperbolic 3-manifold of finite volume does not admit a properly embedded noncompact surface of finite topology with constant mean curvature greater than o…
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…
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…
Properly immersed surfaces in hyperbolic 3-manifolds
William H. Meeks, Álvaro K. Ramos
We study complete finite topology immersed surfaces in complete Riemannian -manifolds with sectional curvature , such that the absolute mean curvatur…
The mean curvature equation on semidirect products : Height estimates and Scherk-like graphs
Alvaro Ramos
On the ambient space of a Lie group with a left invariant metric that is isometric and isomorphic to a semidirect product , we consider a domain $Ω…