Curves in R^n with finite total first curvature arising from the solutions of an ODE

C. Y. Kim; H. Matsuda; J. H. Park; P. Gilkey; S. Yorozu

arxiv: 1308.5217 · v1 · pith:PYVVNAS6new · submitted 2013-08-23 · 🧮 math.DG

Curves in R^n with finite total first curvature arising from the solutions of an ODE

P. Gilkey , C. Y. Kim , H. Matsuda , J. H. Park , S. Yorozu This is my paper

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keywords curvaturefinitefirsttotalarisingconstructcurvecurves

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We use the solution set of a real ordinary differential equation which has order n which is at least 2 to construct a smooth curve C in R^n. We describe when C is a proper embedding of infinite length with finite total first curvature.

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Curves in R^n with finite total first curvature arising from the solutions of an ODE

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