Vaisman metrics on solvmanifolds and Oeljeklaus-Toma manifolds
classification
🧮 math.DG
math.CV
keywords
metricsvaismanmanifoldsoeljeklaus-tomasolvmanifoldsadmitcomplexleft-invariant
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We prove the non-existence of Vaisman metrics on some solvmanifolds with left-invariant complex structures. By this theorem, we show that Oeljeklaus-Toma manifolds does not admit Vaisman metrics.
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