This is an expository note to give a brief review of classical elastic theory, mainly prepared for giving a more detailed proof of the author’s Li–Yau type inequality for self-intersecting curves in Euclidean space.We also discuss some open problems in related topics.

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Elastic curves and self-intersections

  • Tatsuya Miura

摘要

This is an expository note to give a brief review of classical elastic theory, mainly prepared for giving a more detailed proof of the author’s Li–Yau type inequality for self-intersecting curves in Euclidean space.We also discuss some open problems in related topics.