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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…
math.DG2006
On Yamabe constants of Riemannian products
Kazuo Akutagawa, Luis A. Florit, Jimmy Petean
For a closed Riemannian manifold of constant positive scalar curvature and any other closed Riemannian manifold , we show that the limit of the Yamabe constants…