Kirchhoff elastic rods in higher-dimensional space forms

Proceedings of the Japan Academy, Series A. Mathematical Sciences

article

Satoshi Kawakubo¹ 

[1] Department of Applied Mathematics, Faculty of Science, Fukuoka University

关键词: Elastica;    Kirchhoff elastic rod;    helix;    variational problem.;   

DOI  :  10.3792/pjaa.87.5

学科分类：数学（综合）

来源: Japan Academy

【 摘 要 】

In this paper, we give examples of Kirchhoff rod centerlines fully immersed in higher-dimensional space forms. More precisely, we prove that any helix in a space form is a Kirchhoff rod centerline. These examples imply the difference of the geometric properties between Kirchhoff rod centerlines and elasticae.

【 授权许可】

Unknown