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math.DG2011
Bounds on volume growth of geodesic balls under Ricci flow
Qi S. Zhang
We prove a so called non-inflating property for Ricci flow, which provides an upper bound for volume ratio of geodesic balls over Euclidean ones, under an upper bound for scala…
math.DG2011
Extremal of Log Sobolev inequality and entropy on noncompact manifolds
Qi S. Zhang
Let $\M$ be a complete, connected noncompact manifold with bounded geometry. Under a condition near infinity, we prove that the Log Sobolev functional (\ref{logfanhan}) has an extr…