2 citations · 3 across the 6 of their papers we have counts for
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math.DG2004
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…
math.DG2004★ 1 cited
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…
math.DG2004
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…