Artículos de revistas
Lines Of Curvature On Surfaces Immersed In ℝ4
Registro en:
Bulletin Of The Brazilian Mathematical Society. , v. 28, n. 2, p. 233 - 251, 1997.
1003569
2-s2.0-0001114246
Autor
Gutierrez C.
Guadalupe I.
Tribuzy R.
Guinez V.
Institución
Resumen
The 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. 28 2 233 251 Burnside, W.S., Panton, A.W., (1912) The Theory of Equations, , [B-P] Dover Publications, Inc. New York Guadalupe, 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] Gutierrez, 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] Jacobowitz, H., The Gauss-Codazzi Equations (1982) Tensor, N., S., 39, pp. 15-22. , [Jac] Little, J.A., On Singularities of Submanifolds of a Higher Dimensional Euclidean Space (1969) Ann. Mat. Pura App., 83, pp. 261-335. , [Lit] Palis, J., De Melo, W., (1982) Geometric Theory of Dynamical Systems, , [M-P] Springer-Verlag Ramírez-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] Spivak, M., (1979) A Comprehensive Introduction to Differential Geometry, 5. , [Spi] Publish or Perish Inc., Berkeley