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.
Original language | English |
---|---|
Number of pages | 35 |
Journal | Complex Manifolds |
Volume | 7 |
Issue number | 1 |
DOIs | |
Publication status | Published - Jan 2020 |
Externally published | Yes |