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.
@article{AIHPC_2015__32_6_1189_0, author = {Ivaki, Mohammad N.}, title = {Centro-affine normal flows on curves: Harnack estimates and ancient solutions}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, volume = {32}, year = {2015}, pages = {1189-1197}, doi = {10.1016/j.anihpc.2014.07.001}, mrnumber = {3425259}, zbl = {1329.53096}, language = {en}, url = {http://dml.mathdoc.fr/item/AIHPC_2015__32_6_1189_0} }
Ivaki, Mohammad N. Centro-affine normal flows on curves: Harnack estimates and ancient solutions. Annales de l'I.H.P. Analyse non linéaire, Tome 32 (2015) pp. 1189-1197. doi : 10.1016/j.anihpc.2014.07.001. http://gdmltest.u-ga.fr/item/AIHPC_2015__32_6_1189_0/
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