Abstract. We obtain an exhaustive classification of totally umbilical surfaces in unimodular and non-unimodular simply-connected 3-dimen-sional Lie groups endowed with arbitrary left-invariant Riemannian met-rics. This completes the classification of totally umbilical surfaces in homogeneous Riemannian 3-manifolds. 1
We study SO(2)-invariant minimal and constant mean curvature surfaces in R^3 endowed with a homogene...
Abstract. For a regular surface in Euclidean space R3, umbilic points are precisely the points where...
Consideramos o problema de representaÃÃo de superfÃcies imersas em grupos de Lie tridimensionais.Esp...
We survey existence and classication of totally umbilic surfaces in the model geometries of Thurston...
28 pages, v2 : corrected typos, new section added. To appear in Commentarii Math. Helvet.We discuss ...
A three-dimensional homogeneous Lorentzian manifold is either symmetric or locally isometric to a Li...
AbstractThe purpose of this paper is to classify all simply connected homogeneous almost cosymplecti...
Dedicated to Professor Manfredo do Carmo on the occasion of his 80th birthday Following [Ch] and [dC...
Neste trabalho estudamos superfícies em variedades Riemannianas homogêneas tridimensionais com condi...
We classify constant mean curvature surfaces invariant by a 1-parameter group of isometries in the B...
We study totally umbilical hemi-slant submanifolds of a Kaehler manifold via curvature tensor. We pr...
We prove that any non-symmetric three-dimensional homogeneous Lorentzian manifold is isometric to a ...
Recentemente, o estudo de superfı́cies com propriedades geométricas preestabelecidas, imersas em var...
Following [Ch] and [dCF], we give sufficient conditions for a disk type surface, with piecewise smo...
ABSTRACT. We classify constant mean curvature surfaces invariant by a 1-parameter group of isometrie...
We study SO(2)-invariant minimal and constant mean curvature surfaces in R^3 endowed with a homogene...
Abstract. For a regular surface in Euclidean space R3, umbilic points are precisely the points where...
Consideramos o problema de representaÃÃo de superfÃcies imersas em grupos de Lie tridimensionais.Esp...
We survey existence and classication of totally umbilic surfaces in the model geometries of Thurston...
28 pages, v2 : corrected typos, new section added. To appear in Commentarii Math. Helvet.We discuss ...
A three-dimensional homogeneous Lorentzian manifold is either symmetric or locally isometric to a Li...
AbstractThe purpose of this paper is to classify all simply connected homogeneous almost cosymplecti...
Dedicated to Professor Manfredo do Carmo on the occasion of his 80th birthday Following [Ch] and [dC...
Neste trabalho estudamos superfícies em variedades Riemannianas homogêneas tridimensionais com condi...
We classify constant mean curvature surfaces invariant by a 1-parameter group of isometries in the B...
We study totally umbilical hemi-slant submanifolds of a Kaehler manifold via curvature tensor. We pr...
We prove that any non-symmetric three-dimensional homogeneous Lorentzian manifold is isometric to a ...
Recentemente, o estudo de superfı́cies com propriedades geométricas preestabelecidas, imersas em var...
Following [Ch] and [dCF], we give sufficient conditions for a disk type surface, with piecewise smo...
ABSTRACT. We classify constant mean curvature surfaces invariant by a 1-parameter group of isometrie...
We study SO(2)-invariant minimal and constant mean curvature surfaces in R^3 endowed with a homogene...
Abstract. For a regular surface in Euclidean space R3, umbilic points are precisely the points where...
Consideramos o problema de representaÃÃo de superfÃcies imersas em grupos de Lie tridimensionais.Esp...