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Closed lines of curvature for Weingarten immersions

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References

  1. Darboux, G.: Théorie Génerale des Surfaces, Chelsea Pub. Co. 1972. 1 — Vol. IV, Note 7 2 — Vol. III, Ch. VII

  2. Gutierrez, C. and Sotomayor, J.: Structurally stable Configurations of Lines of Curvature, Asterisque, 98–99, 1982.

  3. Gutierrez, C. and Sotomayor, J.: Principal Lines on Surfaces Immersed with Constant Mean Curvature, Trans. Amer. Math. Soc.239 (1986), 2.

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  4. Hartman, P. and Wïnter, A.: Umbilical Points and W-Surfaces. Amer. J. Math.76 (1954).

  5. [Hp] Hopf, H.: Lectures on Differential Geometry in the Large. Springer Lect. Notes in Math. 1000; 1983.

  6. [St] Struik, D.: Lectures on Classical Differential Geometry. Addison Wesley, 1950.

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  1. IMPA, Estrada Dona Castorina, 110, 22460, Rio de Janeiro, Brazil

    J. Sotomayor

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  1. J. Sotomayor
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Communicated by M. Berger

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Sotomayor, J. Closed lines of curvature for Weingarten immersions. Ann Glob Anal Geom 5, 83–86 (1987). https://doi.org/10.1007/BF00140755

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