Ivaki, M. N. (2014). Centro-affine normal flows on curves: Harnack estimates and ancient solutions. Annales de l’Institut Henri Poincaré C, 32(6), 1189–1197. https://doi.org/10.1016/j.anihpc.2014.07.001
E104-06 - Forschungsbereich Konvexe und Diskrete Geometrie
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Journal:
Annales de l'Institut Henri Poincaré C
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ISSN:
0294-1449
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Date (published):
24-Jul-2014
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Number of Pages:
9
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Publisher:
EUROPEAN MATHEMATICAL SOC-EMS
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Peer reviewed:
Yes
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Keywords:
Affine differential geometry; Affine support function; Ancient solutions; Centro-affine normal flow
en
Abstract:
We prove that the only compact, origin-symmetric, strictly convex ancient solutions of the planar p centro-affine normal flows are contracting origin-centered ellipses.