Lines Of Curvature On Surfaces Immersed In ℝ4

dc.creatorGutierrez C.
dc.creatorGuadalupe I.
dc.creatorTribuzy R.
dc.creatorGuinez V.
dc.date1997
dc.date2015-06-30T14:47:33Z
dc.date2015-11-26T15:02:53Z
dc.date2015-06-30T14:47:33Z
dc.date2015-11-26T15:02:53Z
dc.date.accessioned2018-03-28T22:13:47Z
dc.date.available2018-03-28T22:13:47Z
dc.identifier
dc.identifierBulletin Of The Brazilian Mathematical Society. , v. 28, n. 2, p. 233 - 251, 1997.
dc.identifier1003569
dc.identifier
dc.identifierhttp://www.scopus.com/inward/record.url?eid=2-s2.0-0001114246&partnerID=40&md5=43be6605f645844190c9c51775730fb0
dc.identifierhttp://www.repositorio.unicamp.br/handle/REPOSIP/99989
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/99989
dc.identifier2-s2.0-0001114246
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1256487
dc.descriptionThe differential equation of the lines of curvature for immersions of surfaces into ℝ4 is established. It is shown that, for a class of generic immersions of a surface into ℝ4 in the Cr-topology, r ≥ 4, all of the umbilic points are locally topologically stable. This type of umbilic points is described. © 1997, Sociedade Brasileira de Matemática.
dc.description28
dc.description2
dc.description233
dc.description251
dc.descriptionBurnside, W.S., Panton, A.W., (1912) The Theory of Equations, , [B-P] Dover Publications, Inc. New York
dc.descriptionGuadalupe, I., Gutiérrez, C., Sotomayor, J., Tribuzy, R., Principal Lines on Surfaces Minimally Immersed in Constantly Curved 4-spaces (1987) Dynamical Systems and Bifurcation Theory, Pitman Research Notes in Mathematics Series, 160, pp. 91-120. , [GGST]
dc.descriptionGutierrez, C., Sotomayor, J., Principal Lines on Surfaces Immersed with Constant Mean Curvature (1986) Trans, of the Ame. Math. Soc., 293 (2), pp. 751-766. , [G-S]
dc.descriptionJacobowitz, H., The Gauss-Codazzi Equations (1982) Tensor, N., S., 39, pp. 15-22. , [Jac]
dc.descriptionLittle, J.A., On Singularities of Submanifolds of a Higher Dimensional Euclidean Space (1969) Ann. Mat. Pura App., 83, pp. 261-335. , [Lit]
dc.descriptionPalis, J., De Melo, W., (1982) Geometric Theory of Dynamical Systems, , [M-P] Springer-Verlag
dc.descriptionRamírez-Galarza, A., Sánchez-Bringas, F., Lines of Curvature near Umbilic Points on Surfaces Immersed in ℝ4 (1995) Annals of Global Analysis and Geometry, 13, pp. 129-140. , [R-S]
dc.descriptionSpivak, M., (1979) A Comprehensive Introduction to Differential Geometry, 5. , [Spi] Publish or Perish Inc., Berkeley
dc.languageen
dc.publisher
dc.relationBulletin of the Brazilian Mathematical Society
dc.rightsfechado
dc.sourceScopus
dc.titleLines Of Curvature On Surfaces Immersed In ℝ4
dc.typeArtículos de revistas


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