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Complete surfaces in H 3 with a constant principal curvature

Part of the Lecture Notes in Mathematics book series (2803,volume 1369)

Keywords

  • Principal Curvature
  • Integral Curve
  • Isometric Immersion
  • Umbilical Point
  • Frame Field

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References

  1. Stoker, J.J., Developable surfaces in the large, Comm. pure and appl. math., 14(1962), 627–635.

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  2. Massey, W.S., Surfaces of Gaussian curvature zero in Euclidean spaces, Tohoku math. J., 14(1962), 73–79.

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  3. Katsuhiro Shohama and Ryoichi Takagi, A characterization of a standard torus in E 3, J. Diff. Geometry, 4(1970), 477–485.

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  4. Wolf, J.A., Spaces of constant curvature, McGraw-Hill, New York, 1967.

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  5. Dubrovin, B.A., Fomenko, A.T. and Novikov, S.P., Modern geometry-Methods and applications, Part I, Springer-Verlag New York Berlin Heidelberg Tokyo, 1972.

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  6. Synge, J.L., Relatively: The special theory, Dublin institute for advanced studies, 1956.

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© 1989 Springer-Verlag

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Ma, Z. (1989). Complete surfaces in H 3 with a constant principal curvature. In: Jiang, B., Peng, CK., Hou, Z. (eds) Differential Geometry and Topology. Lecture Notes in Mathematics, vol 1369. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087533

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  • DOI: https://doi.org/10.1007/BFb0087533

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51037-6

  • Online ISBN: 978-3-540-46137-1

  • eBook Packages: Springer Book Archive