Kähler Yamabe minimizers on minimal ruled surfaces

Authors

  • Christina W. Tønnesen-Friedman

DOI:

https://doi.org/10.7146/math.scand.a-14369

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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Published

2002-06-01

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Section

Articles