4 papers
Homogeneous Hypersurfaces in 4-dimensional Thurston Geometries with 4-dimensional Isometry Group
Tarcios Andrey Ferreira
We classify, up to conjugacy, the 3-dimensional subalgebras of the Lie algebras associated with the 4-dimensional Thurston geometries whose isometry groups have dimension 4. Since…
Classification of Minimal Surfaces and Solitons to the Mean Curvature Flow in as Translation Surfaces
Tarcios Andrey Ferreira, João Paulo dos Santos
We consider the hyperbolic three-space in the half-space model endowed with a metric Lie group structure. In this setting, translation surfaces are defined as products of two curve…
Rigidity of Translation Surfaces in the Three-Dimensional Sphere
Tarcios Andrey Ferreira, João Paulo dos Santos
A translation surface in the three-dimensional sphere is a surface generated by the quaternionic product of two curves, called generating curves. In this paper, we p…
Polar actions on homogeneous 3-spaces
Miguel Dominguez-Vazquez, Tarcios A. Ferreira, Tomas Otero
We classify polar isometric actions on simply connected 3-dimensional Riemannian homogeneous spaces, up to orbit equivalence. In particular, we classify extrinsically homogeneous s…