Curvature Functionals for Curves in the Equi-Affine Plane
classification
🧮 math.DG
keywords
criticalcurvatureequi-affinefunctionalspointsarc-lengthareaconstraint
read the original 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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