Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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D. Angella - M. Origlia

Locally conformally Kähler structures on four-dimensional solvable Lie algebras

created by daniele on 25 Sep 2018
modified on 09 Jul 2019

[BibTeX]

Preprint

Inserted: 25 sep 2018
Last Updated: 9 jul 2019

Year: 2018

ArXiv: 1809.08149 PDF

Abstract:

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 in higher dimension, here including lcK structures on Oeljeklaus-Toma manifolds, and we also give a geometric interpretation of some of the 4-dimensional structures in our classification.

Tags: SIR2014-AnHyC
, PRIN2017-MFDS

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