A characterization of Oeljeklaus-Toma manifolds in locally conformally K\"ahler geometry
Abstract
We show that for a certain class of solvable Lie groups, if they admit a left-invariant non-Vaisman locally conformally K\"ahler metric and a lattice, they must arise from the construction of Oeljeklaus-Toma manifolds. This result provides a natural explanation for why number-theoretic considerations play a role in the construction of Oeljeklaus-Toma manifolds.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.