Kirchhoff elastic rods in higher-dimensional space forms
Kawakubo, Satoshi
Proc. Japan Acad. Ser. A Math. Sci., Tome 87 (2011) no. 1, p. 5-9 / Harvested from Project Euclid
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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.
Publié le : 2011-01-15
Classification:  Elastica,  Kirchhoff elastic rod,  helix,  variational problem,  58E10,  74K10 
@article{1293500471,
     author = {Kawakubo, Satoshi},
     title = {Kirchhoff elastic rods in higher-dimensional space forms},
     journal = {Proc. Japan Acad. Ser. A Math. Sci.},
     volume = {87},
     number = {1},
     year = {2011},
     pages = { 5-9},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1293500471}
}

Kawakubo, Satoshi. Kirchhoff elastic rods in higher-dimensional space forms. Proc. Japan Acad. Ser. A Math. Sci., Tome 87 (2011) no. 1, pp.  5-9. http://gdmltest.u-ga.fr/item/1293500471/