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Indefinite Kähler-Einstein Metrics on Compact Complex Surfaces

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Abstract:

We completely classify those compact complex surfaces which admit indefinite Ricci-flat Kähler metrics. Slightly weaker results are also obtained for indefinite Kähler-Einstein metrics with non-zero scalar curvature.

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Authors and Affiliations

  1. Department of Mathematics, SUNY, Stony Brook, NY 11794-3651, USA. E-mail: jimmy@math.sunysb.edu, , , , , , US

    Jimmy Petean

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  1. Jimmy Petean
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Received: 6 December 1996 / Accepted: 17 March 1997

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Petean, J. Indefinite Kähler-Einstein Metrics on Compact Complex Surfaces . Comm Math Phys 189, 227–235 (1997). https://doi.org/10.1007/s002200050197

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  • DOI: https://doi.org/10.1007/s002200050197

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