Lines of Principal Curvature on Canal Surfaces in R^3

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dc.creatorGarcia, Ronaldo
dc.creatorLlibre, Jaume
dc.creatorSotomayor, Jorge
dc.date2006-04-07
dc.date.accessioned2026-07-07T07:10:38Z
dc.date.available2026-07-07T07:10:38Z
dc.descriptionIn this paper are determined the principal curvatures and principal curvature lines on canal surfaces which are the envelopes of families of spheres with variable radius and centers moving along a closed regular curve in R^3. By means of a connection of the differential equations for these curvature lines and real Riccati equations, it is established that canal surfaces have at most two isolated periodic principal lines. Examples of canal surfaces with two simple and one double periodic principal lines are given.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/math/0604164
dc.identifierhttp://arxiv.org/abs/math/0604164
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/111480
dc.subjectDifferential Geometry
dc.subjectDynamical Systems
dc.subject53C12, 34D30, 53A05, 37C75
dc.titleLines of Principal Curvature on Canal Surfaces in R^3
dc.typetext

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