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math.DG2005
Ricci curvature and Yamabe constants
Jimmy Petean
We prove that if a closed unit volume Riemannian manifold, , has Ricci curvature bounded from below by r>0 then the Yamabe constant of the conformal class of is at le…
math.DG2005
Collapsing manifolds obtained by Kummer-type constructions
Gabriel P. Paternain, Jimmy Petean
We construct F-structures on a Bott manifold and on some other manifolds obtained by Kummer-type constructions. We also prove that if M=E#X, where E is a fiber bundle with structur…