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The entropy formula for the Ricci flow and its geometric applications
We present a monotonic expression for the Ricci flow, valid in all dimensions and without curvature assumptions. It is interpreted as an entropy for a certain canonical ensemble. Several geometricExpand
Ricci flow with surgery on three-manifolds
This is a technical paper, which is a continuation of math.DG/0211159. Here we construct Ricci flow with surgeries and verify most of the assertions, made in section 13 of that e-print: theExpand
Finite extinction time for the solutions to the Ricci flow on certain three-manifolds
Let M be a closed oriented three-manifold, whose prime decomposition contains no aspherical factors. We show that for any initial riemannian metric on M the solution to the Ricci flow with surgery,Expand
Manifolds of positive Ricci curvature with almost maximal volume
10. In this note we consider complete Riemannian manifolds with Ricci curvature bounded from below. The well-known theorems of Myers and Bishop imply that a manifold Mn with Ric > n 1 satisfiesExpand
Spaces with Curvature Bounded Below
After the seminal work of Gromov (see [G1],[GLP]), questions of this type, with various assumptions on curvatures, and other geometric characteristics, have been receiving much attention. Cheeger,Expand
The medial instep plantar fasciotomy.
The medial instep plantar fasciotomy was performed by the authors on 50 feet previously untreated by surgery and all but one of the patients stated that they would recommend and or have the procedure performed again if the need arose. Expand
and its geometric applications
Personal protective clothing of the present invention is formed into a vest, a skirt, a cap, a coat or the like by using a surface-metallized fiber woven or knitted fabric. A conductive dischargingExpand