26 citations · 30 across the 12 of their papers we have counts for
4 papers · 2 filters
Hyperbolic Manifolds, Harmonic Forms, and Seiberg-Witten Invariants
Claude LeBrun
New estimates are derived concerning the behavior of self-dual hamonic 2-forms on a compact Riemannian 4-manifold with non-trivial Seiberg-Witten invariants. Applications include a…
Curvature, Connected Sums, and Seiberg-Witten Theory
Masashi Ishida, Claude LeBrun
We consider several differential-topological invariants of compact 4-manifolds which directly arise from Riemannian variational problems. Using recent results of Bauer and Furuta,…
Curvature, Covering Spaces, and Seiberg-Witten Theory
Claude LeBrun
The Yamabe invariant Y(M) of a smooth compact manifold is roughly the supremum of the scalar curvatures of unit-volume constant-scalar-curvature Riemannian metrics g on M. (To be p…
Spin Manifolds, Einstein Metrics, and Differential Topology
Masashi Ishida, Claude LeBrun
We show that there exist smooth, simply connected, four-dimensional spin manifolds which do not admit Einstein metrics, but nonetheless satisfy the strict Hitchin-Thorpe inequality…