Surfaces expanding by the power of the Gauss curvature flow

DOI10.1090/S0002-9939-2010-10431-8zbMath1204.53053MaRDI QIDQ3056552

Qi-Rui Li

Publication date: 12 November 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

surfacevelocity functionexpanding curvature flow

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Surfaces in Euclidean and related spaces (53A05)

Related Items (13)

A class of inverse curvature flows and 𝐿^{𝑝} dual Christoffel-Minkowski problem ⋮ Pinching and asymptotical roundness for inverse curvature flows in Euclidean space ⋮ Non-scale-invariant inverse curvature flows in Euclidean space ⋮ Curvature flow in hyperbolic spaces ⋮ Inverse curvature flows in Riemannian warped products ⋮ Shifted inverse curvature flows in hyperbolic space ⋮ Aleksandrov reflection for extrinsic geometric flows of Euclidean hypersurfaces ⋮ Orlicz-Minkowski flows ⋮ Surfaces expanding by non-concave curvature functions ⋮ The planar Busemann-Petty centroid inequality and its stability ⋮ Harnack inequality for the negative power Gaussian curvature flow ⋮ Inverse curvature flows of rotation hypersurfaces ⋮ An application of dual convex bodies to the inverse Gauss curvature flow

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