Zobrazeno 1 - 10
of 40
pro vyhledávání: '"Andrada, Adrian"'
The purpose of this article is twofold. First, we prove that the $8$-dimensional Lie group $\operatorname{SL}(3,\mathbb{R})$ does not admit a left-invariant hypercomplex structure. To accomplish this we revise the classification of left-invariant com
Externí odkaz:
http://arxiv.org/abs/2408.14715
Autor:
Andrada, Adrián, Garrone, Agustín
A compact symplectic manifold $(M, \omega)$ is said to satisfy the hard-Lefschetz condition if it is possible to develop an analogue of Hodge theory for $(M, \omega)$. This loosely means that there is a notion of harmonicity of differential forms in
Externí odkaz:
http://arxiv.org/abs/2406.18042
Autor:
Andrada, Adrián, Barberis, María Laura
We apply the quaternionic Jordan form to classify the hypercomplex nilpotent almost abelian Lie algebras in all dimensions and to carry out the complete classification of 12-dimensional hypercomplex almost abelian Lie algebras. Moreover, we determine
Externí odkaz:
http://arxiv.org/abs/2405.18656
Autor:
Andrada, Adrián, Tolcachier, Alejandro
We study complex solvmanifolds $\Gamma\backslash G$ with holomorphically trivial canonical bundle. We show that the trivializing section of this bundle can be either invariant or non-invariant by the action of $G$. First we characterize the existence
Externí odkaz:
http://arxiv.org/abs/2307.16673
Autor:
Andrada, Adrián, Tolcachier, Alejandro
An almost abelian Lie group is a solvable Lie group with a codimension-one normal abelian subgroup. We characterize almost Hermitian structures on almost abelian Lie groups where the almost complex structure is harmonic with respect to the Hermitian
Externí odkaz:
http://arxiv.org/abs/2303.02231
We study left invariant locally conformally product structures on simply connected Lie groups and give their complete description in the solvable unimodular case. Based on previous classification results, we then obtain the complete list of solvable
Externí odkaz:
http://arxiv.org/abs/2302.01801
Autor:
Andrada, Adrián, Tolcachier, Alejandro
It is well known that the product of two Sasakian manifolds carries a 2-parameter family of Hermitian structures $(J_{a,b},g_{a,b})$. We show in this article that the complex structure $J_{a,b}$ is harmonic with respect to $g_{a,b}$, i.e. it is a cri
Externí odkaz:
http://arxiv.org/abs/2301.09706
Autor:
Andrada, Adrián, Barberis, María Laura
Publikováno v:
The Journal of Geometric Analysis volume 33, Article number: 213 (2023)
We give a characterization of almost abelian Lie groups carrying left invariant hypercomplex structures and we show that the corresponding Obata connection is always flat. We determine when such Lie groups admit HKT metrics and study the correspondin
Externí odkaz:
http://arxiv.org/abs/2211.09889
Autor:
Andrada, Adrián, Barberis, María Laura
Publikováno v:
In Journal of Algebra 15 February 2025 664 Part B:73-122
Autor:
Andrada, Adrian, Dileo, Giulia
We introduce the notion of abelian almost contact structures on an odd dimensional real Lie algebra $\mathfrak g$. This a sufficient condition for the structure to be normal. We investigate correspondences with even dimensional real Lie algebras endo
Externí odkaz:
http://arxiv.org/abs/2006.16435