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math.DG2009★ 1 cited
The Canonical Expanding Soliton and Harnack inequalities for Ricci flow
Esther Cabezas-Rivas, Peter M. Topping
We introduce the notion of Canonical Expanding Ricci Soliton, and use it to derive new Harnack inequalities for Ricci flow. This viewpoint also gives geometric insight into the exi…
math.DG2009★ 1 cited
Volume-preserving flow by powers of the m-th mean curvature
Esther Cabezas-Rivas, Carlo Sinestrari
We consider the evolution of a closed convex hypersurface under a volume preserving curvature flow. The speed is given by a power of the m-th mean curvature plus a volume preservin…