Centro–affine curvature flows on centrally symmetric convex curves

DOI10.1090/S0002-9947-2014-05928-XzbMath1298.53062arXiv1205.6456OpenAlexW2963059002MaRDI QIDQ3190925

Mohammad N. Ivaki

Publication date: 19 September 2014

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

Full work available at URL: https://arxiv.org/abs/1205.6456

zbMATH Keywords

Hausdorff metriccentrally symmetric convex bodies\(p\)-affine isoperimetric inequality\(p\)-contracting\(p\)-expanding

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Convex sets in (2) dimensions (including convex curves) (52A10) Curves in Euclidean and related spaces (53A04) Affine differential geometry (53A15)

Related Items (15)

Centro-affine normal flows on curves: Harnack estimates and ancient solutions ⋮ Existence of convex hypersurfaces with prescribed centroaffine curvature ⋮ An eternal curve flow in centro-affine geometry ⋮ The centro-affine invariant geometric heat flow ⋮ An anisotropic area-preserving flow for convex plane curves ⋮ The reverse isoperimetric inequality for convex plane curves through a length-preserving flow ⋮ On the stability of the \(p\)-affine isoperimetric inequality ⋮ Orlicz-Minkowski flows ⋮ Convex bodies with pinched Mahler volume under the centro-affine normal flows ⋮ Group invariant solutions to a centro-affine invariant flow ⋮ The planar Busemann-Petty centroid inequality and its stability ⋮ An application of dual convex bodies to the inverse Gauss curvature flow ⋮ An inequality for the minimum affine curvature of a plane curve ⋮ Classification of compact convex ancient solutions of the planar affine normal flow ⋮ Stability of the Blaschke-Santaló inequality in the plane

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