Curvature lines on orthogonal surfaces of R3 and Joachimsthal Theorem

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dc.contributor.authorGarcia, Ronaldo A.spa
dc.creator.email[email protected]spa
dc.date2005spa
dc.date.accessioned2015-07-22T21:13:56Zspa
dc.date.accessioned2016-05-11T14:34:51Zspa
dc.date.accessioned2017-05-16T17:17:01Zspa
dc.date.available2015-07-22T21:13:56Zspa
dc.date.available2016-05-11T14:34:51Zspa
dc.date.available2017-05-16T17:17:01Zspa
dc.date.issued2005-06-20spa
dc.description.abstractIn this paper is studied; as a complement of Joachimsthal theorem; the behavior of curvature lines near a principal cycle common to two orthogonal surfaces.eng
dc.format.extent11spa
dc.format.mediumDigitalspa
dc.format.mimetypeapplication/pdfspa
dc.format.tipodocumentosspa
dc.identifier.citationGarcia, R. A. (2005). Curvature lines on orthogonal surfaces of R3 and Joachimsthal Theorem. Civilizar Ciencias Sociales y Humanas, 5(8), 141-151.spa
dc.identifier.doihttps://doi.org/10.22518/16578953.800eng
dc.identifier.instnameinstname:Universidad Sergio Arboledaspa
dc.identifier.issn1657-8953spa
dc.identifier.reponamereponame:Repositorio Institucional Universidad Sergio Arboledaspa
dc.identifier.repourlrepourl:https://repository.usergioarboleda.edu.co/*
dc.identifier.urlhttp://hdl.handle.net/11232/310eng
dc.language.isospaspa
dc.publisherUniversidad Sergio Arboledaspa
dc.relation.citationendpage151spa
dc.relation.citationstartpage141spa
dc.relation.citationvolumen5spa
dc.relation.ispartofRevista Civilizar Ciencias Sociales y Humanas; vol. 5, núm. 8 (2005)spa
dc.relation.ispartofjournalCivilizar Ciencias Sociales y Humanidadesspa
dc.relation.referencesM. Bergerand B. Gostiaux Introduction to Differential Geometry, Springer Verlag,New York, (1987).eng
dc.relation.referencesM. do Carmo, Differential Geometry of curves and surfaces, Prentice Hall, New Jersey,(1976).eng
dc.relation.referencesG. DarbouxLe ̧cons sur la Th ́eorie des Surfaces, vol. I, IV, Gauthiers Villars, (1896).eng
dc.relation.referencesC. GutierrezandJ. Sotomayor,Closed principal lines and bifurcation, Bull. Braz.Math. Soc.17, 1986, pp. 1-19eng
dc.relation.referencesR. GarciaandJ. SotomayorLectures Notes on Qualitative Theory of DifferentialEquations of Classical Geometry, Notas de Curso, IME/UFG, (2000).eng
dc.relation.referencesA. Gray, L. CordeiroandM. Fernández,Geometría diferencial de curvas y superficies, con Mathematica, Addison-Wesley Iberoamericana, (1995).spa
dc.relation.referencesC. GutierrezandJ. Sotomayor,Lines of Curvature and Umbilic Points on Surfaces,Brazilian 18thMath. Coll., IMPA, 1991, Reprinted asStructurally Configurations ofLines of Curvature and Umbilic Points on Surfaces, Monografias del IMCA, (1998).eng
dc.relation.referencesH. Hopf,Differential Geometry in the Large, Springer Lecture Notes in Mathematics,vol. 1000, (1983).eng
dc.relation.referencesD. HilbertandS. Cohn Vossen Geometry and the Imagination, Chelsea, (1952).eng
dc.relation.referencesG. MongeJourn. de l’Ecole Polytech,IIe, (1796),Applications de l’Algebre a la Geometrie, Paris, (1850).fre
dc.relation.referencesM. SpivakA Comprehensive Introduction to Differential Geometry, vol.III, V, Publishof Perish Berkeley, (1979).eng
dc.relation.referencesM. SpivakA Comprehensive Introduction to Differential Geometry, vol.III, V, Publishof Perish Berkeley, (1979).eng
dc.rights.accesRightsinfo:eu-repo/semantics/openAccesseng
dc.rights.accesoAbierto (Texto Completo)spa
dc.rights.coarhttp://purl.org/coar/access_right/c_abf2*
dc.rights.licenseAtribución-NoComercial-SinDerivadas 2.5 Colombia (CC BY-NC-ND 2.5 CO)*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/2.5/co/*
dc.subject.lembGeometría diferencialspa
dc.subject.lembSuperficiesspa
dc.subject.lembTopologíaspa
dc.subject.lembTeorema Joachimsthalspa
dc.subject.lembCurvasspa
dc.subject.proposalprincipal cyclespa
dc.subject.proposalcurvature linesspa
dc.subject.proposalMSC: 53C12spa
dc.subject.proposal34D30spa
dc.subject.proposal53A05spa
dc.subject.proposal37C75spa
dc.titleCurvature lines on orthogonal surfaces of R3 and Joachimsthal Theoremspa
dc.type.coarhttp://purl.org/coar/resource_type/c_2df8fbb1eng
dc.type.coarversionhttp://purl.org/coar/version/c_970fb48d4fbd8a85spa
dc.type.localArtículo de revistaspa
dc.type.redcolhttp://purl.org/redcol/resource_type/ARTeng

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