Classification of compact convex ancient solutions of the planar affine normal flow
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Publication:254306
DOI10.1007/s12220-015-9568-8zbMath1335.53085arXiv1411.5270OpenAlexW2053077763MaRDI QIDQ254306
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
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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