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Deformation of surfaces preserving principal curvatures

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Differential Geometry and Topology

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

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Reference

  1. O. Bonnet, Memoire sur la theorie des surfaces applicables, J.Ec Polyt., 42(1867) 79–92.

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  2. S.S.Chern, Deformation of surfaces preserving principal curvatures. Differential geometry and complex analysis p.155–p.163 H.E.Rauch Memorial volume 1985.

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  3. R. Courant and D. Hilbert, Methods of Mathematical Physics Vol.II p.89-, 1962.

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  4. A.Gervasio Colares and Katsue Kenmotsu, Isometric Deformation of surfaces in R 3 preserving the Mean Curvature Function, preprint. 1987.

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  5. I.M.Roussos, Principal curvature preserving isometries of surfaces in ordinary space. Priprint Univ. of Minnesota 1986.

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  6. E. Cartan, Sur les couples de surfaces applicable avec conservation des courbures principales. Bull. Sci. Math. 66(1942) 1–30 or Oeuvres Completes, Partie III, Vol.2 1591–1620.

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Author information

Authors and Affiliations

  1. Graduate School of University of Science and Technology of China, Beijing, China

    Xiuxiong Chen & Chia-Kuei Peng

Authors
  1. Xiuxiong Chen
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  2. Chia-Kuei Peng
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Editor information

Boju Jiang Chia-Kuei Peng Zixin Hou

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© 1989 Springer-Verlag

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Chen, X., Peng, CK. (1989). Deformation of surfaces preserving principal curvatures. 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/BFb0087527

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  • DOI: https://doi.org/10.1007/BFb0087527

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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

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