Centro-affine normal flows on curves: Harnack estimates and ancient solutions

DOI10.1016/j.anihpc.2014.07.001zbMath1329.53096arXiv1211.2346OpenAlexW2010086317MaRDI QIDQ896166

Mohammad N. Ivaki

Publication date: 11 December 2015

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.2346

zbMATH Keywords

affine differential geometryaffine support functionancient solutionscentro-affine normal flow

Mathematics Subject Classification ID

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

Related Items (7)

A priori estimates and existence of solutions to the prescribed centroaffine curvature problem ⋮ An eternal curve flow in centro-affine geometry ⋮ 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 ⋮ Harnack inequalities for curvature flows in Riemannian and Lorentzian manifolds ⋮ An application of the affine shortening flow

Cites Work

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• Volume preserving centro-affine normal flows
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• The Brunn-Minkowski-Firey theory. II: Affine and geominimal surface areas
• Contraction of convex hypersurfaces by their affine normal
• Ancient solutions of the affine normal flow
• Centro-Affine Invariants for Smooth Convex Bodies
• Centro–affine curvature flows on centrally symmetric convex curves
• The affine curve-lengthening flow

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