黎曼流形中具有厚度的弹性丝的运动
Motion of an elastic wire with thickness in a Riemannian manifold
摘要：
弹性线的运动方程有几种类型。在本文中，我们处理一个方程，考虑到导线的厚度。该方程是由Caflisch和Maddocks在平面曲线上引入的，他们证明了解的存在性。Koiso和Sugimoto将结果推广到任意维的欧几里得空间。本文将证明任意黎曼流形上解的存在性。
英文摘要：
There are several types of equation of motion of elastic wires. In this paper, we treat an equation taking account of the thickness of wire. The equation was introduced by Caflisch and Maddocks on plane curves, and they proved the existence of solutions. Koiso and Sugimoto generalized the result to any dimensional Euclidean space. In this paper, we will prove the existence of solutions on any riemannian manifold.
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