Surfaces moving by powers of Gauss curvature

DOI10.4310/PAMQ.2012.v8.n4.a1zbMath1263.53058arXiv1111.4616OpenAlexW2964155681MaRDI QIDQ1940446

Xuzhong Chen, Ben Andrews

Publication date: 7 March 2013

Published in: Pure and Applied Mathematics Quarterly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.4616

zbMATH Keywords

curvature estimateGauss curvature flowstrictly convex surfaces

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05)

Related Items (17)

Flow by powers of the Gauss curvature ⋮ Curvature flow in hyperbolic spaces ⋮ Contracting axially symmetric hypersurfaces by powers of the \(\sigma_k\)-curvature ⋮ Flow by powers of the Gauss curvature in space forms ⋮ Uniqueness of solutions to a class of isotropic curvature problems ⋮ Translating solitons to flows by powers of the Gaussian curvature in Riemannian products ⋮ Uniqueness of closed self-similar solutions to \(\sigma_k^\alpha\)-curvature flow ⋮ Translating solutions to the Gauss curvature flow with flat sides ⋮ Convex bodies with pinched Mahler volume under the centro-affine normal flows ⋮ Contraction of surfaces in hyperbolic space and in sphere ⋮ The evolution of complete non-compact graphs by powers of Gauss curvature ⋮ The planar Busemann-Petty centroid inequality and its stability ⋮ Volume preserving flow and Alexandrov-Fenchel type inequalities in hyperbolic space ⋮ Convergence of Gauss curvature flows to translating solitons ⋮ An application of dual convex bodies to the inverse Gauss curvature flow ⋮ Anisotropic Gauss curvature flows and their associated Dual Orlicz-Minkowski problems ⋮ On the uniqueness of \(L_p\)-Minkowski problems: the constant \(p\)-curvature case in \(\mathbb{R}^3\)

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