2 citations · 3 across the 6 of their papers we have counts for
13 papers
Twistors, Holomorphic Disks, and Riemann Surfaces with Boundary
Claude LeBrun
Moduli spaces of holomorphic disks in a complex manifold Z, with boundaries constrained to lie in a maximal totally real submanifold P, have recently been found to underlie a numbe…
Nonlinear Gravitons, Null Geodesics, and Holomorphic Disks
Claude LeBrun, L. J. Mason
We develop a global twistor correspondence for pseudo-Riemannian conformal structures of signature (++--) with self-dual Weyl curvature. Near the conformal class of the standard in…
Einstein Metrics, Symplectic Minimality, and Pseudo-Holomorphic Curves
Claude LeBrun
Let (M, g, omega) be a compact, almost-Kaehler Einstein 4-manifold of negative star-scalar curvature. Then (M, omega) is a MINIMAL symplectic 4-manifold of general type. In particu…
Einstein Metrics, Four-Manifolds, and Differential Topology
Claude LeBrun
This article presents a new and more elementary proof of the main Seiberg-Witten-based obstruction to the existence of Einstein metrics on smooth compact 4-manifolds. It also intro…
Curvature Functionals, Optimal Metrics, and the Differential Topology of 4-Manifolds
Claude LeBrun
This paper investigates the question of which smooth compact 4-manifolds admit Riemannian metrics that minimize the L2-norm of the curvature tensor. Metrics with this property are…
Zoll Manifolds and Complex Surfaces
Claude LeBrun, L. J. Mason
We classify compact surfaces with torsion-free affine connections for which every geodesic is a simple closed curve. In the process, we obtain completely new proofs of all the majo…