The self-linking number of a closed curve in R^n

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We introduce the self-linking number of a smooth closed curve in R^n with respect to a 3-dimensional vector bundle over the curve, provided that some regularity conditions are satisfied. When n=3, this construction gives the classical self-linking number of a closed embedded curve with non-vanishing curvature. We also look at some interesting particular cases, which correspond to the osculating or the orthogonal vector bundle of the curve.
13 pages; 2 figures; AMS-LaTeX

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Differential Geometry, 53A04

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http://salesiana.dossiersoluciones.com/handle/123456789/78601

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9906015
 http://arxiv.org/abs/math/9906015

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arXiv