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Positively Curved Self-Dual Einstein Metrics on Weighted Projective Planes

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Abstract

We classify positively curved self-dual Einstein Hermitian orbifold metrics of Galicki – Lawson on the weighted projective planes. We thus determine which of the 3-Sasakian S1-reductions of S11 possess canonical variation metrics of positive sectional curvature.

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  1. Westfälisches Wilhelms-Universität, Einsteinstrasse 62, 48149, Muenster, Germany

    Owen Dearricott

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  1. Owen Dearricott
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Correspondence to Owen Dearricott.

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Mathematics Subject Classifications (2000): 53C21, 53C25, 53C26

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Dearricott, O. Positively Curved Self-Dual Einstein Metrics on Weighted Projective Planes. Ann Glob Anal Geom 27, 79–86 (2005). https://doi.org/10.1007/s10455-005-3395-2

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  • DOI: https://doi.org/10.1007/s10455-005-3395-2

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