17 citations · 27 across the 12 of their papers we have counts for
13 papers
Gray -metrics on nilpotent Lie groups and the quasicentroid condition
Edison Alberto Fernández-Culma
We study left-invariant Gray -metrics (cyclic-parallel Ricci tensor) on nilpotent Lie groups, focusing on the algebraic condition that the Ricci operator belongs to th…
Associative Structures in Pseudo-Riemannian Lie Algebras
Santiago Castañeda Montoya, Edison Alberto Fernández-Culma
This paper investigates the algebraic and geometric consequences of the associativity of the symmetric part of the Levi-Civita connection on a pseudo-Riemannian Lie algebra $(\…
On the variety of Lie algebras endowed with complex structures: degenerations and deformations
Edison Alberto Fernández-Culma, Nadina Rojas
We study the space of Lie algebras equipped with left-invariant complex structures, $\mathcal{L}_{ J_{\tiny{\mbox{cn}}} }(\mathbb{R}^{2n}) $, with particular attention to their deg…
On -derivations of anti-commutative algebras
Edison Alberto Fernández-Culma
We solve an open problem concerning the well-known -derivations, proving that the spaces of -derivations of any Lie algebra are isomorphic (). Also, we…
Extended derivations of algebras
Edison Alberto Fernández-Culma
We study the concept of extended derivations of algebras which expands diverse definitions of generalized derivations given in the literature. We concentrate on the family of the a…
Classification of orbit closures in the variety of 4-dimensional symplectic Lie algebras
Edison Alberto Fernández-Culma, Nadina Elizabeth Rojas
The aim of this paper is to study the natural action of the real symplectic group, , on the algebraic set of -dimensional Lie algebras admittin…
On the classification of -dimensional complex hom-Lie algebras
Edison Alberto Fernández-Culma, Nadina Elizabeth Rojas
We classify hom-Lie structures with nilpotent twisting map on -dimensional complex Lie algebras, up to isomorphism, and classify all degenerations in such family. The ideas and…
Anti-Kählerian geometry on Lie groups
Edison Alberto Fernández-Culma, Yamile Godoy
Let be a Lie group of even dimension and let be a left invariant anti-Kähler structure on . In this article we study anti-Kähler structures considering the distingui…
Interpolation of geometric structures compatible with a pseudo Riemannian metric
Edison Alberto Fernández-Culma, Yamile Godoy, Marcos Salvai
Let (M, g) be a pseudo Riemannian manifold. We consider four geometric structures on M compatible with g: two almost complex and two almost product structures satisfying additional…
Classification of Nilsoliton metrics in dimension seven
Edison Alberto Fernández-Culma
The aim of this paper is to classify Ricci soliton metrics on -dimensional nilpotent Lie groups. It can be considered as a continuation of our paper in [Transformation Groups, V…
Soliton almost Kähler structures on 6-dimensional nilmanifolds for the symplectic curvature flow
Edison Alberto Fernández-Culma
The aim of this paper is to study self-similar solutions to the symplectic cuvature flow on 6-dimensional nilmanifolds. For this purpose, we focus our attention in the family of sy…
On distinguished orbits of reductive representations
Edison Alberto Fernández-Culma
Let be a real reductive Lie group and be a real reductive representation of with (restricted) moment map $m_{\ggo}: V-{0} \longrightarrow \ggo$.…
Classification of 7-dimensional Einstein nilradicals II
Edison Alberto Fernández-Culma
This paper contains all computations supporting the classification of 7-dimensional Einstein nilradicals given in the article "Classification of 7-dimensional Einstein nilradicals"…