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Convexity and gradient estimates for fully nonlinear curvature flows
[article]

2020

We study deformations of hypersurfaces with normal velocity given by a smooth symmetric increasing function of the principal curvatures. Specifically we study flows where the speed is a nonlinear concave function, so that at the coordinate level the evolution is governed by a fully nonlinear parabolic PDE. For each $k \geq 3$ we construct the first flows of this kind which smoothly deform any compact $k$-convex hypersurface of Euclidean space through a family of hypersurfaces which are also

doi:10.15496/publikation-51113
fatcat:3byyctllhjch5he5mfotmuplbm