Lines of curvature on surfaces immersed in ?4

Carlos Gutierrez; Irwen Guadalupe; Renato Tribuzy; V�ctor Gu��ez

doi:10.1007/bf01233393

journal article Sep 01, 1997

Lines of curvature on surfaces immersed in ?4

Carlos Gutierrez Irwen Guadalupe Renato Tribuzy V�ctor Gu��ez

Boletim da Sociedade Brasileira de Matem�tica Vol. 28 No. 2 pp. 233-251 · Springer Science and Business Media LLC

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References

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[GGST] Guadalupe I., Gutiérrez C., Sotomayor, J. and Tribuzy R.Principal Lines on Surfaces Minimally Immersed In Constantly Curved 4-spaces. Dynamical Systems and bifurcation theory, Pitman Research Notes in Mathematics Series 160 (1987), pp. 91?120.

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[G-S] Gutierrez C. and Sotomayor J.Principal Lines on Surfaces Immersed with Constant Mean Curvature. Trans. of the Ame. Math. Soc. Vol. 293, No. 2 (1986), pp. 751?766. 10.2307/2000035

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[Jac] Jacobowitz, H.The Gauss-Codazzi Equations. Tensor, N., S., 39 (1982), pp. 15?22.

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[Lit] Little J. A.On Singularities of Submanifolds of a Higher Dimensional Euclidean Space. Ann. Mat. Pura App. 83 (1969), pp. 261?335. 10.1007/bf02411172

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[M-P] Palis J. and de Melo W.Geometric Theory of Dynamical Systems. Springer-Verlag, 1982. 10.1007/978-1-4612-5703-5

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[R-S] Ramírez-Galarza A. and Sánchez-Bringas F.Lines of Curvature near Umbilic Points on Surfaces Immersed in ?4. Annals of Global Analysis and Geometry, 13 (1995), pp. 129?140. 10.1007/bf01120328

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[Spi] Spivak M. A.Comprehensive Introduction to Differential Geometry. Vol. 5, Publish or Perish Inc., Berkeley, 1979.

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Details

Published: Sep 01, 1997
Vol/Issue: 28(2)
Pages: 233-251
License: View

Authors

C

Carlos Gutierrez

California Department of Conservation, California Geological Survey, Sacramento, California, U.S.A.

Cite This Article

Carlos Gutierrez, Irwen Guadalupe, Renato Tribuzy, et al. (1997). Lines of curvature on surfaces immersed in ?4. Boletim da Sociedade Brasileira de Matem�tica, 28(2), 233-251. https://doi.org/10.1007/bf01233393

Lines of curvature on surfaces immersed in ?4

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