Kähler Yamabe minimizers on minimal ruled surfaces

Details Kähler Yamabe minimizers on minimal ruled surfaces Kähler Yamabe minimizers on minimal ruled surfaces

1998-12-11

arxiv.org/abs/math/9812070v2

Mathematics

Differential Geometry

Minor stylistic changes in Chapter 2, Expanded Acknowledgment on page 12, 13 pages, Latex

Scientific paper

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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