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math.DG2006★ 1 cited
Four-Manifolds, Curvature Bounds, and Convex Geometry
Claude LeBrun
A simplified, user-friendly repackaging of the curvature estimates implied by the Seiberg-Witten equations is formulated in terms of the convex hull of the set of monopole classes.…
math.DG2006
Perelman's Invariant, Ricci Flow, and the Yamabe Invariants of Smooth Manifolds
Kazuo Akutagawa, Masashi Ishida, Claude LeBrun
In his study of Ricci flow, Perelman introduced a smooth-manifold invariant called lambda-bar. We show here that, for completely elementary reasons, this invariant simply equals th…