Codimension one bifurcations of non simple umbilical points for surfaces immersed in R4

dc.contributor	ARAM SERRANO
dc.coverage.spatial	Investigación aplicada
dc.creator	JOSE MATIAS NAVARRO SOZA
dc.date	2015-12-31
dc.date.accessioned	2018-10-04T15:08:12Z
dc.date.available	2018-10-04T15:08:12Z
dc.identifier	http://intranet.matematicas.uady.mx/journal/index.php
dc.identifier.uri	http://redi.uady.mx:8080/handle/123456789/721
dc.description.abstract	We study the qualitative change on the principal configurations around non simple umbilical points which are codimension one bifurcation points in the space N1 of 1-jets of vector fields ν normal to a generic surface immersed in R4 with an isolated ν-umbilical point. We prove that, except for one point and under some generic conditions, the principal configurations around this class of non simple umbilical points are of the same topological type D23 which represent a bifurcation between the Darbouxian types D2 and D3 in the space N1.
dc.language	eng
dc.publisher	Abstraction and Application
dc.relation	citation:0
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	http://creativecommons.org/licenses/by-nc-nd/4.0
dc.source	urn:issn:2007-2635
dc.subject	info:eu-repo/classification/cti/1
dc.subject	CIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA
dc.subject	Immersed surfaces
dc.subject	Umbilical point
dc.subject	Principal curvature lines
dc.subject	Bifurcation of umbilics
dc.title	Codimension one bifurcations of non simple umbilical points for surfaces immersed in R4
dc.type	info:eu-repo/semantics/article