Gravitational Instantons, Weyl Curvature, and Conformally Kähler Geometry
Olivier Biquard, Paul Gauduchon, and Claude LeBrun
Preprint (2023) 


Einstein Manifolds, SelfDual Weyl Curvature, and Conformally Kähler Geometry
Claude LeBrun
Mathematics Research Letters (2021) 


Mass in Kähler Geometry
HansJoachim Hein and Claude LeBrun
Communications in Mathematical Physics (2016) 


On Einstein, Hermitian 4Manifolds
Claude LeBrun
Journal of Differential Geometry (2012) 


On Conformally Kähler, Einstein Manifolds
Xiuxiong Chen, Claude LeBrun, and Brian Weber
Journal of the American Mathematical Society (2008) 


On Optimal 4Dimensional Metrics
Claude LeBrun and Bernie Maskit
Journal of Geometric Analysis (2008) 


Curvature Functionals,
Optimal Metrics, and the Differential Topology of FourManifolds
Claude LeBrun
Different Faces of Geometry
(2004)



Einstein Metrics, FourManifolds, and Differential Topology
Claude LeBrun
Surveys in Differential Geometry
(2003)



Zoll Manifolds and Complex Surfaces
Claude LeBrun and Lionel Mason
Journal of Differential Geometry (2002)



Spin Manifolds, Einstein Metrics, and Differential Topology
Masashi Ishida and Claude LeBrun
Mathematical Research Letters (2002) 


Ricci Curvature, Minimal Volumes, and SeibergWitten Theory
Claude LeBrun
Inventiones Mathematicae (2001)



On Einstein Manifolds of Positive Sectional Curvature
Matthew Gursky and Claude LeBrun
Annals of Global Analysis and Geometry (1999)



Einstein Metrics and the Yamabe Problem
Claude LeBrun
Trends in Mathematical Physics (1999)



Kodaira Dimension and the Yamabe Problem
Claude LeBrun
Communications in Analysis and Geometry (1999)



Yamabe Invariants and Spin^{c} Structures
Matthew Gursky and
Claude LeBrun
Geometric and Functional Analysis (1998)



On the Scalar Curvature of Einstein Manifolds
Fabrizio Catanese and
Claude LeBrun Mathematical Research Letters (1997)



FourManifolds without Einstein Metrics
Claude LeBrun
Mathematical Research Letters (1996)



Einstein Metrics and Mostow Rigidity
Claude LeBrun
Mathematical Research Letters (1995)



Explicit SelfDual Metrics on CP_{2} # ... # CP_{2},
Claude LeBrun
Journal of Differential Geometry (1991)


