An affine characterization of quadratic curves
classification
🧮 math.DG
keywords
affinecurvecurvesexpansionanalysisanalyzingcharacterizationcharacterizations
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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.
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