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

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dc.creatorMontesinos-Amilibia, A.
dc.creatorNuno-Ballesteros, J. J.
dc.date1999-06-02
dc.date.accessioned2026-07-07T05:29:20Z
dc.date.available2026-07-07T05:29:20Z
dc.descriptionWe 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.
dc.description13 pages; 2 figures; AMS-LaTeX
dc.identifierhttps://arxiv.org/abs/math/9906015
dc.identifierhttp://arxiv.org/abs/math/9906015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78601
dc.subjectDifferential Geometry
dc.subject53A04
dc.titleThe self-linking number of a closed curve in R^n
dc.typetext

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