Andrews, Benjamin2015-12-070944-2669http://hdl.handle.net/1885/17393A convex surface contracting by a strictly monotone, homogeneous degree one function of its principal curvatures remains smooth until it contracts to a point in finite time, and is asymptotically spherical in shape. No assumptions are made on the concavity of the speed as a function of principal curvatures. We also discuss motion by functions homogeneous of degree greater than 1 in the principal curvatures.201010.1007/s00526-010-0329-z2015-12-07