We study the left-invariant Riemannian metrics on a class of models of nilpotent Lie groups. In particular we prove that the Heisenberg groups are, up to local isomorphism, the only nilpotent non-decomposable Lie groups endowed with a homogeneous Riemannian naturally reductive space for every left invariant metric
In this paper we prove an existence result for local and global isometric immersions of semi-Riemann...
summary:Let $(N, J)$ be a simply connected $2n$-dimensional nilpotent Lie group endowed with an inva...
In this paper we prove an existence result for local and global isometric immersions of semi-Riemann...
We study some aspect of the left-invariant Riemannian geometry on a class of nilpotent Lie groups H(...
We study some aspect of the left-invariant Riemannian geometry on a class of nilpotent Lie groups H(...
We give the classification, up to automorphisms, of the left invariant metrics on the Heisenberg gro...
We give the classification, up to automorphisms, of the left invariant metrics on the Heisenberg gro...
This work concerns the invariant Lorentzian metrics on the Heisenberg Lie group of dimension three H...
This paper deals with naturally reductive pseudo-Riemannian 2- step nilpotent Lie groups for which t...
In this paper it is computed some curvatures by means of the left invariant metrics.An important rol...
The determination of affine Lie groups (i.e., which carry a left-invariant affine structure) is an o...
In this paper we prove an existence result for local and global isometric immersions of semi-Riemann...
AbstractEach point of the variety of real Lie algebras is naturally identified with a left invariant...
We study the geodesic orbit property for nilpotent Lie groups N when endowed with a pseudo-Riemannia...
Master's thesis in Mathematics and Physicsn differential geometry and mathematical physics, there is...
In this paper we prove an existence result for local and global isometric immersions of semi-Riemann...
summary:Let $(N, J)$ be a simply connected $2n$-dimensional nilpotent Lie group endowed with an inva...
In this paper we prove an existence result for local and global isometric immersions of semi-Riemann...
We study some aspect of the left-invariant Riemannian geometry on a class of nilpotent Lie groups H(...
We study some aspect of the left-invariant Riemannian geometry on a class of nilpotent Lie groups H(...
We give the classification, up to automorphisms, of the left invariant metrics on the Heisenberg gro...
We give the classification, up to automorphisms, of the left invariant metrics on the Heisenberg gro...
This work concerns the invariant Lorentzian metrics on the Heisenberg Lie group of dimension three H...
This paper deals with naturally reductive pseudo-Riemannian 2- step nilpotent Lie groups for which t...
In this paper it is computed some curvatures by means of the left invariant metrics.An important rol...
The determination of affine Lie groups (i.e., which carry a left-invariant affine structure) is an o...
In this paper we prove an existence result for local and global isometric immersions of semi-Riemann...
AbstractEach point of the variety of real Lie algebras is naturally identified with a left invariant...
We study the geodesic orbit property for nilpotent Lie groups N when endowed with a pseudo-Riemannia...
Master's thesis in Mathematics and Physicsn differential geometry and mathematical physics, there is...
In this paper we prove an existence result for local and global isometric immersions of semi-Riemann...
summary:Let $(N, J)$ be a simply connected $2n$-dimensional nilpotent Lie group endowed with an inva...
In this paper we prove an existence result for local and global isometric immersions of semi-Riemann...