Classification of compact convex ancient solutions of the planar affine normal flow

DOI10.1007/s12220-015-9568-8zbMath1335.53085arXiv1411.5270OpenAlexW2053077763MaRDI QIDQ254306

Mohammad N. Ivaki

Publication date: 8 March 2016

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.5270

zbMATH Keywords

affine differential geometryaffine normal flowaffine support functionancient solutions

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 (3)

Convex bodies with pinched Mahler volume under the centro-affine normal flows ⋮ Grid peeling and the affine curve-shortening flow ⋮ Ancient finite entropy flows by powers of curvature in \(\mathbb{R}^2\)

Cites Work

• On affine plane curve evolution
• Motion of hypersurfaces by Gauss curvature
• The Brunn-Minkowski-Firey theory. II: Affine and geominimal surface areas
• Contraction of convex hypersurfaces by their affine normal
• Rotationally symmetric solutions to the \(L_p\)-Minkowski problem
• Ancient solutions of the affine normal flow
• Centro–affine curvature flows on centrally symmetric convex curves

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