A note on discrete Holonomy through directed edges, with no lengths

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dc.creatorArmstrong, Stuart
dc.creatorWestergren, Jussi
dc.date2009-02-13
dc.date.accessioned2026-07-07T12:41:36Z
dc.date.available2026-07-07T12:41:36Z
dc.descriptionThis note demonstrates how both the concept of distance and the concept of holonomy can be constructed from a suitable network with directed edges (and no lengths). The number of different edge types depends on the signature of the metric and the dimension of the holonomy group. If the holonomy group is of dimension one and the metric is positive-definite, a single type of directed edges is needed.
dc.identifierhttps://arxiv.org/abs/0902.2301
dc.identifierhttp://arxiv.org/abs/0902.2301
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/219825
dc.subjectGeometric Topology
dc.subjectMetric Geometry
dc.subject83C27, 83C47, 81T25, 52B20
dc.titleA note on discrete Holonomy through directed edges, with no lengths
dc.typetext

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