On the total curvature of semialgebraic graphs

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dc.creatorNicolaescu, Liviu I.
dc.date2008-06-23
dc.date.accessioned2026-07-07T09:46:10Z
dc.date.available2026-07-07T09:46:10Z
dc.descriptionWe define the total curvature of a semialgebraic embedding of a graph in the 3-dimensional Euclidean space. We prove that it satisfies a Chern-Lashof type inequality and we describe when the equality holds. We also prove a generalization of a classical result of Fary and Milnor stating that certain graphs cannot be knotted if they are not too curved. The techniques employed are Morse theoretic.
dc.description24 pages, 11 figures
dc.identifierhttps://arxiv.org/abs/0806.3683
dc.identifierhttp://arxiv.org/abs/0806.3683
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/163439
dc.subjectGeometric Topology
dc.subjectDifferential Geometry
dc.titleOn the total curvature of semialgebraic graphs
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