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arXiv · 1308.5217

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
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Abstract

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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P. Gilkey, C. Y. Kim, H. Matsuda, J. H. Park, S. Yorozu. 2013-08-23. Curves in R^n with finite total first curvature arising from the solutions of an ODE. https://arxiv.org/abs/1308.5217

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