Indefinite Kaehler-Einstein metrics on Compact Complex Surfaces
Jimmy Petean (SUNY at Stony Brook)
TL;DR
This paper investigates indefinite Kaehler-Einstein metrics on compact complex surfaces, identifying which surfaces admit such metrics and providing a near-complete classification of these geometric structures.
Contribution
It offers a near-complete classification of compact complex surfaces that admit indefinite Kaehler-Einstein metrics, advancing understanding of complex differential geometry.
Findings
Identifies specific compact complex surfaces admitting indefinite Kaehler-Einstein metrics.
Provides criteria for the existence of such metrics on these surfaces.
Advances classification in complex differential geometry.
Abstract
Indefinite Kaehler solutions of the Einstein equations are studied, and it is almost completely determined which compact complex surfaces admit such metrics.
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