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Kähler Yamabe minimizers on minimal ruled surfaces

Christina W. Tønnesen-Friedman
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Abstract

It is shown that if a minimal ruled surface admits a Kähler Yamabe minimizer, then this metric must be generalized Kähler-Einstein and the underlying holomorphic vector bundle of the ruled surface must be quasi-stable.

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Christina W. Tønnesen-Friedman. 1998-12-22. Kähler Yamabe minimizers on minimal ruled surfaces. https://arxiv.org/abs/math/9812070

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