K\"ahler Yamabe minimizers on minimal ruled surfaces
classification
🧮 math.DG
keywords
ruledahlerminimalmustsurfaceyamabeadmitsahler-einstein
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It is shown that if a minimal ruled surface admits a K\"ahler Yamabe minimizer, then this metric must be generalized K\"ahler-Einstein and the underlying holomorphic vector bundle of the ruled surface must be quasi-stable.
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