Curvature Functionals for Curves in the Equi-Affine Plane

2009/12/21 by Steven Verpoort, Verpoort, Steven
Mathematics · Engineering · #Algebraic and Geometric Analysis #Differential Equations and Boundary Problems #Advanced Numerical Analysis Techniques

paper · pdf · doi:10.48550/arxiv.0912.4075

Abstract

After having given the general variational formula for the functionals indicated in the title, the critical points of the integral of the equi-affine curvature under area constraint and the critical points of the full-affine arc-length are studied in greater detail.

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