activity
20142026
most citedLattices in almost abelian Lie groups with locally conformal Kähler or symplectic structures

37 citations · 65 across the 9 of their papers we have counts for

collaborators

10 papers

math.DG2026

On coKähler structures on Lie algebras

Javier Liendo, Marcos Origlia

We study coKähler structures on real Lie algebras by using the Fino-Vezzoni correspondence, which relates them to Kähler Lie algebras endowed with compatible skew-symmetric derivat…

math.DG2023

A survey on invariant conformal Killing forms on Lie groups

A. Herrera, M. Origlia

In this survey we review recent results on left-invariant conformal Killing p-forms on Lie groups endowed with a left-invariant metric. We also mention interesting open questions t…

math.DG2020

Invariant Conformal Killing-Yano -forms on five dimensional Lie Groups

Andrea Cecilia Herrera, Marcos Origlia

We study left invariant conformal Killing-Yano (CKY) -forms on Lie groups endowed with a left invariant metric. We classify all -dimensional metric Lie algebras carrying CKY…

math.DG2018★ 4 cited

Locally conformally Kähler solvmanifolds: a survey

Adrián Andrada, Marcos Origlia

A Hermitian structure on a manifold is called locally conformally Kähler (LCK) if it locally admits a conformal change which is Kähler. In this survey we review recent results of i…

math.DG2018★ 2 cited

On certain class of locally conformal symplectic structures of the second kind

Marcos Origlia

We study locally conformal symplectic (LCS) structures of the second kind on a Lie algebra. We show a method to build new examples of Lie algebras admitting LCS structures of the s…

math.DG2018★ 10 cited

Locally conformally Kähler structures on four-dimensional solvable Lie algebras

Daniele Angella, Marcos Origlia

We classify and investigate locally conformally Kähler structures on four-dimensional solvable Lie algebras up to linear equivalence. As an application we can produce many examples…

math.DG2018★ 1 cited

Locally conformal symplectic structures on Lie algebras of type I and their solvmanifolds

Marcos Origlia

We study Lie algebras of type I, that is, a Lie algebra where all the eigenvalues of the operator ad are imaginary for all . We prove that the…

math.DG2017

Vaisman solvmanifolds and relations with other geometric structures

Adrián Andrada, Marcos Origlia

We characterize unimodular solvable Lie algebras with Vaisman structures in terms of Kähler flat Lie algebras equipped with a suitable derivation. Using this characterization we ob…

math.DG2016★ 37 cited

Lattices in almost abelian Lie groups with locally conformal Kähler or symplectic structures

A. Andrada, M. Origlia

We study the existence of lattices in almost abelian Lie groups that admit left invariant locally conformal Kähler or locally conformal symplectic structures in order to obtain com…

math.DG2014★ 11 cited

Locally conformally Kähler structures on unimodular Lie groups

Adrián Andrada, Marcos Origlia

We study left-invariant locally conformally Kähler structures on Lie groups, or equivalently, on Lie algebras. We give some properties of these structures in general, and then we c…