What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- 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)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Pure mathematics (58.62%)
- Mathematical analysis (35.86%)
- Einstein (30.34%)
What were the highlights of his more recent work (between 2011-2021)?
- Pure mathematics (58.62%)
- Einstein (30.34%)
- Metric (20.69%)
In recent papers he was focusing on the following fields of study:
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.
Between 2011 and 2021, his most popular works were:
- Curvature, cones and characteristic numbers (43 citations)
- On Einstein, Hermitian 4-Manifolds (25 citations)
- The Einstein–Maxwell Equations and Conformally Kähler Geometry (22 citations)
In his most recent research, the most cited papers focused on:
- 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.
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