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- Claude LeBrun

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
37
Citations
5,082
109
World Ranking
1700
National Ranking
742

2013 - Fellow of the American Mathematical Society

- Mathematical analysis
- Pure mathematics
- Geometry

Pure mathematics, Mathematical analysis, Scalar curvature, Einstein and Metric are his primary areas of study. His research in Pure mathematics intersects with topics in Zero, Geodesic and Counterexample. His work on Conformal geometry, Complex manifold and Differential geometry as part of general Mathematical analysis research is frequently linked to Algebraic surface, bridging the gap between disciplines.

His research investigates the connection between Scalar curvature and topics such as Ricci curvature that intersect with issues in Infimum and supremum, Space and Upper and lower bounds. His biological study spans a wide range of topics, including Diffeomorphism, Uniqueness theorem for Poisson's equation and Quotient. His work carried out in the field of Metric brings together such families of science as Surface and Mathematical physics.

- Counter-examples to the generalized positive action conjecture (175 citations)
- FANO MANIFOLDS, CONTACT STRUCTURES, AND QUATERNIONIC GEOMETRY (165 citations)
- Four-Manifolds without Einstein Metrics (161 citations)

His primary areas of study are Pure mathematics, Mathematical analysis, Einstein, Scalar curvature and Curvature. The concepts of his Pure mathematics study are interwoven with issues in Yamabe invariant and Metric. His work in Mathematical analysis covers topics such as Ricci-flat manifold which are related to areas like Einstein tensor.

His work deals with themes such as Holomorphic function, Maxwell's equations and Differential topology, which intersect with Einstein. His Scalar curvature research is multidisciplinary, incorporating perspectives in Riemann curvature tensor and Ricci curvature. In his work, Embedding and Space is strongly intertwined with Moduli space, which is a subfield of Curvature.

- Pure mathematics (58.62%)
- Mathematical analysis (35.86%)
- Einstein (30.34%)

- Pure mathematics (58.62%)
- Einstein (30.34%)
- Metric (20.69%)

Claude LeBrun mainly investigates Pure mathematics, Einstein, Metric, Curvature and Euclidean geometry. His Pure mathematics study combines topics in areas such as Mathematical analysis and Scalar curvature. His studies in Einstein integrate themes in fields like Gravitational singularity and Maxwell's equations.

His Metric research incorporates elements of Structure, Surface, Geometry and Complex dimension. As part of the same scientific family, Claude LeBrun usually focuses on Curvature, concentrating on Conformal map and intersecting with Hermitian matrix. Claude LeBrun has researched Euclidean geometry in several fields, including Manifold, Simple, Kähler manifold and Chern class.

- Curvature, cones and characteristic numbers (43 citations)
- On Einstein, Hermitian 4-Manifolds (25 citations)
- The Einstein–Maxwell Equations and Conformally Kähler Geometry (22 citations)

- Geometry
- Mathematical analysis
- Topology

Claude LeBrun mostly deals with Einstein, Metric, Maxwell's equations, Mathematical physics and Geometry. His Einstein research includes elements of Differential geometry, Pure mathematics, Surface, Curvature and Space. His study in Pure mathematics focuses on Moduli space in particular.

His research integrates issues of Conformal map, Scalar curvature, Submanifold and Riemannian geometry in his study of Surface. His Metric research focuses on subjects like Hermitian matrix, which are linked to Isometry, Einstein manifold, Structure, Span and Class. Claude LeBrun interconnects Manifold and Invariant in the investigation of issues within Geometry.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Counter-examples to the generalized positive action conjecture

Claude LeBrun.

Communications in Mathematical Physics **(1988)**

281 Citations

Four-Manifolds without Einstein Metrics

Claude LeBrun.

Mathematical Research Letters **(1996)**

248 Citations

FANO MANIFOLDS, CONTACT STRUCTURES, AND QUATERNIONIC GEOMETRY

Claude Lebrun.

International Journal of Mathematics **(1995)**

247 Citations

Explicit self-dual metrics on $\mathbb{CP}_2 \# \cdots\#\mathbb{CP}_2$

Claude LeBrun.

Journal of Differential Geometry **(1991)**

245 Citations

Extremal Kähler metrics and complex deformation theory

C. LeBrun;S. R. Simanca.

Geometric and Functional Analysis **(1994)**

238 Citations

Spaces of complex null geodesics in complex-Riemannian geometry

Claude LeBrun.

Transactions of the American Mathematical Society **(1983)**

212 Citations

Strong rigidity of positive quaternion Kähler manifolds.

Claude LeBrun;Simon Salamon.

Inventiones Mathematicae **(1994)**

205 Citations

Einstein metrics and Mostow rigidity

Claude LeBrun.

Mathematical Research Letters **(1995)**

172 Citations

On conformally Kähler, Einstein manifolds

Xiuxiong Chen;Claude LeBrun;Brian Weber.

Journal of the American Mathematical Society **(2008)**

170 Citations

Kodaira dimension and the Yamabe problem

Claude LeBrun.

Communications in Analysis and Geometry **(1999)**

156 Citations

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