Kähler Yamabe minimizers on minimal ruled surfaces
arXiv:math/9812070
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.
Minor stylistic changes in Chapter 2, Expanded Acknowledgment on page 12, 13 pages, Latex