Here are some representative examples of my papers, which I am making available in both g-zipped PostScript and PDF formats. Please note, however, that the versions of my papers posted on this page or distributed through the mathematics e-print archive are typically just the preprint versions. When applicable, the definitive versions are of course the ones appearing on my publication list.
| Gravitational Instantons, Weyl Curvature, and Conformally Kähler Geometry Olivier Biquard, Paul Gauduchon, and Claude LeBrun Preprint (2023) |
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| Einstein Manifolds, Self-Dual Weyl Curvature, and Conformally Kähler Geometry Claude LeBrun Mathematics Research Letters (2021) |
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| Mass in Kähler Geometry
Hans-Joachim Hein and Claude LeBrun Communications in Mathematical Physics (2016) |
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| On Einstein, Hermitian 4-Manifolds
Claude LeBrun Journal of Differential Geometry (2012) |
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| On Conformally Kähler, Einstein Manifolds
Xiuxiong Chen, Claude LeBrun, and Brian Weber Journal of the American Mathematical Society (2008) |
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| On Optimal 4-Dimensional Metrics
Claude LeBrun and Bernie Maskit Journal of Geometric Analysis (2008) |
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| Curvature Functionals,
Optimal Metrics, and the Differential Topology of Four-Manifolds
Claude LeBrun Different Faces of Geometry (2004) |
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| Einstein Metrics, Four-Manifolds, and Differential Topology
Claude LeBrun Surveys in Differential Geometry (2003) |
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| Zoll Manifolds and Complex Surfaces
Claude LeBrun and Lionel Mason Journal of Differential Geometry (2002) |
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| Spin Manifolds, Einstein Metrics, and Differential Topology
Masashi Ishida and Claude LeBrun Mathematical Research Letters (2002) |
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| Ricci Curvature, Minimal Volumes, and Seiberg-Witten Theory
Claude LeBrun Inventiones Mathematicae (2001) |
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| On Einstein Manifolds of Positive Sectional Curvature
Matthew Gursky and Claude LeBrun Annals of Global Analysis and Geometry (1999) |
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| Einstein Metrics and the Yamabe Problem Claude LeBrun Trends in Mathematical Physics (1999) |
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| Kodaira Dimension and the Yamabe Problem
Claude LeBrun Communications in Analysis and Geometry (1999) |
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| Yamabe Invariants and Spinc Structures
Matthew Gursky and Claude LeBrun Geometric and Functional Analysis (1998) |
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| On the Scalar Curvature of Einstein Manifolds
Fabrizio Catanese and Claude LeBrun Mathematical Research Letters (1997) |
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| Four-Manifolds without Einstein Metrics
Claude LeBrun Mathematical Research Letters (1996) |
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| Einstein Metrics and Mostow Rigidity
Claude LeBrun Mathematical Research Letters (1995) |
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| Explicit Self-Dual Metrics on CP2 # ... # CP2,
Claude LeBrun Journal of Differential Geometry (1991) |
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