Kähler Yamabe minimizers on minimal ruled surfaces

Christina W. Tønnesen-Friedman

Abstract


It is shown that if a minimal ruled surface $\mathrm{P}(E) \rightarrow \Sigma$ admits a Kähler Yamabe minimizer, then this metric is generalized Kähler-Einstein and the holomorphic vector bundle $E$ is quasi-stable.

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DOI: http://dx.doi.org/10.7146/math.scand.a-14369

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ISSN 0025-5521 (print) ISSN 1903-1807 (online)

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