We show that n-manifolds with a lower volume bound v and upper diameter bound D whose curvature operator is bounded below by $-\varepsilon(n,v,D)$ also admit metrics with nonnegative curvature operator. The proof relies on heat kernel estimates for the Ricci flow and shows that various smoothing properties of the Ricci flow remain valid if an upper curvature bound is replaced by a lower volume bound. nonnegative curvature operator.
By Thomas Richard
By Thomas Richard
By Thomas Richard
By Thomas Richard
By Thomas Richard
By Feng Luo
By Feng Luo
By Feng Luo
By Feng Luo
By Feng Luo
By Feng Luo
By Robert Young
By Buzano Reto
By Ketover Daniel
By Vladimir Markovic
By Melanie Rupflin
By Greg Mcshane
By Jean-Marc Schlenker
By Viaclovsky Jeff
By Wilking Burkhard
