Historical Comments on Monge's Ellipsoid and the Configuration of Lines of Curvature on Surfaces Immersed in ${\mathbb R}^3$

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dc.creatorSotomayor, Jorge
dc.date2004-11-18
dc.date.accessioned2026-07-07T05:14:27Z
dc.date.available2026-07-07T05:14:27Z
dc.descriptionThis is an essay on the historical landmarks leading to the study of principal configurations on surfaces, their structural stability and further generalizations. Here it is pointed out that in the work of Monge, 1796, are found elements of the qualitative theory of differential equations, founded by Poincaré in 1881. Two open problems are proposed.
dc.description10 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/math/0411403
dc.identifierhttp://arxiv.org/abs/math/0411403
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73280
dc.subjectHistory and Overview
dc.subjectDynamical Systems
dc.subject53C12, 34D30, 53A05, 37C75
dc.titleHistorical Comments on Monge's Ellipsoid and the Configuration of Lines of Curvature on Surfaces Immersed in ${\mathbb R}^3$
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