Total curvatures of holonomic links

dc.creatorEkholm, Tobias
dc.creatorWeistrand, Ola
dc.date1999-05-07
dc.date1999-05-19
dc.date.accessioned2026-07-07T05:28:58Z
dc.date.available2026-07-07T05:28:58Z
dc.descriptionA differential geometric characterization of the braid-index of a link is found. After multiplication by 2pi, it equals the infimum of the sum of total curvature and total absolute torsion over holonomic representatives of the link. Upper and lower bounds for the infimum of total curvature over holonomic representatives of a link are given in terms of its braid- and bridge-index. Examples showing that these bounds are sharp are constructed.
dc.description13 pages, 5 figures. 5 lines in the proof of Theorem 1 has been changed
dc.identifierhttps://arxiv.org/abs/math/9905040
dc.identifierhttp://arxiv.org/abs/math/9905040
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78466
dc.subjectGeometric Topology
dc.subjectDifferential Geometry
dc.titleTotal curvatures of holonomic links
dc.typetext

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