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math.DG2025
Several complex structures on the Oeljeklaus-Toma manifolds
Shuho Kanda
We investigate complex structures on the Oeljeklaus-Toma manifolds. The Oeljeklaus-Toma manifolds are defined using complex embeddings of number fields. By replacing these embeddin…
math.DG2025
A characterization of Oeljeklaus-Toma manifolds in locally conformally Kähler geometry
Shuho Kanda
We show that for a certain class of solvable Lie groups, if they admit a left-invariant non-Vaisman locally conformally Kähler metric and a lattice, they must arise from the constr…