Moving surfaces by non-concave curvature functions

Details Moving surfaces by non-concave curvature functions Moving surfaces by non-concave curvature functions

2004-02-17

arxiv.org/abs/math/0402273v2

Mathematics

Differential Geometry

Extensively revised. Corrected expression for pinching ratio bound in Theorem 3. Additional details on smooth convergence in S

Scientific paper

A convex surface contracting by a strictly monotone, homogeneous degree one
function of curvature 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.

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