Add to ORKGAbstract We obtain criteria for the harmonicity of the Gauss map of submanifolds in the Heisenberg group and consider the examples demonstrating the connection between the harmonicity of this map and the properties of the mean curvature field. Also, we introduce a natural class of cylindrical submanifolds and prove that a constant mean curvature hypersurface with harmonic Gauss map is cylindrical
AbstractWe investigate the local geometry of a class of Kähler submanifolds M⊂Rn which generalize su...
Given a Hörmander system $X = \{ X_1 , \dots , X_m \}$ on a domain $\Omega \subseteq \mathbb{R}^n$ w...
Given a Hörmander system $X = \{ X_1 , \dots , X_m \}$ on a domain $\Omega \subseteq \mathbb{R}^n$ w...
AbstractWe obtain criteria for the harmonicity of the Gauss map of submanifolds in the Heisenberg gr...
We define a Gauss map for surfaces in the universal cover of the Lie group PSL2(R) endowed with a l...
We introduce a hyperbolic Gauss map into the Poincar´e disk for any surface in H2×R with regular ve...
We are interested to work on normal homogeneous space and in this space we calculated Live-Civita co...
We are interested to work on normal homogeneous space and in this space we calculated Live-Civita co...
We introduce a hyperbolic Gauss map into the Poincare ́ disk for any surface in H²×R with regular ve...
AbstractWe build the twin correspondence between surfaces of constant mean curvature in R3 and maxim...
International audienceWe study the Gauss map of minimal surfaces in the Heisenberg group Nil(3) endo...
Ruh-Vilms’ theorem states that a hypersurface of the Euclidean space has constant mean curvature if ...
A fundamental goal of geometry of submanifolds is to find fascinating and significant classical exam...
For an oriented isometric immersed submanifold of the n-sphere, the spherical Gauss map is the Legen...
For an isometrically immersed submanifold, the spherical Gauss map is the induced immersion of the u...
AbstractWe investigate the local geometry of a class of Kähler submanifolds M⊂Rn which generalize su...
Given a Hörmander system $X = \{ X_1 , \dots , X_m \}$ on a domain $\Omega \subseteq \mathbb{R}^n$ w...
Given a Hörmander system $X = \{ X_1 , \dots , X_m \}$ on a domain $\Omega \subseteq \mathbb{R}^n$ w...
AbstractWe obtain criteria for the harmonicity of the Gauss map of submanifolds in the Heisenberg gr...
We define a Gauss map for surfaces in the universal cover of the Lie group PSL2(R) endowed with a l...
We introduce a hyperbolic Gauss map into the Poincar´e disk for any surface in H2×R with regular ve...
We are interested to work on normal homogeneous space and in this space we calculated Live-Civita co...
We are interested to work on normal homogeneous space and in this space we calculated Live-Civita co...
We introduce a hyperbolic Gauss map into the Poincare ́ disk for any surface in H²×R with regular ve...
AbstractWe build the twin correspondence between surfaces of constant mean curvature in R3 and maxim...
International audienceWe study the Gauss map of minimal surfaces in the Heisenberg group Nil(3) endo...
Ruh-Vilms’ theorem states that a hypersurface of the Euclidean space has constant mean curvature if ...
A fundamental goal of geometry of submanifolds is to find fascinating and significant classical exam...
For an oriented isometric immersed submanifold of the n-sphere, the spherical Gauss map is the Legen...
For an isometrically immersed submanifold, the spherical Gauss map is the induced immersion of the u...
AbstractWe investigate the local geometry of a class of Kähler submanifolds M⊂Rn which generalize su...
Given a Hörmander system $X = \{ X_1 , \dots , X_m \}$ on a domain $\Omega \subseteq \mathbb{R}^n$ w...
Given a Hörmander system $X = \{ X_1 , \dots , X_m \}$ on a domain $\Omega \subseteq \mathbb{R}^n$ w...