Vaisman metrics on solvmanifolds and d_(θ)-cohomology
classification
🧮 math.CV
math.DG
keywords
vaismanmetricssolvmanifoldsadmitscohomologycomplexeveryleft-invariant
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We prove the non-existence of Vaisman metrics on some solvmanifolds with a left-invariant complex structure. By this theorem, we show that every Oeljeklaus-Toma manifold with $(s,1)$ admits no Vaisman metric.
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