6 papers · 1 filter
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…
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…
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…
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…
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…
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…