2011/10/29 by Thomas Binder, Binder, Thomas
Mathematics · #53A15 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Mathematics and Applications #Point processes and geometric inequalities #math.DG #msc:53A15
paper · pdf · doi:10.48550/arxiv.1110.6551
arxiv created 2011/10/29 · openalex publication_date 2011/10/29 · arxiv updated 2011/11/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
By analyzing the affine Taylor expansion of a non-degenerate plane curve, we obtain characterizations of classes of such curves via curvature properties of the gravity curve. The proof is based on an analysis of the degree parity and leading coefficients of polynomials occurring in the expansion.