Skip to main content

Deformation of surfaces preserving principal curvatures

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

Keywords

  • Laplacian Operator
  • Gaussian Curvature
  • Principal Curvature
  • Codazzi Equation
  • Constant Gaussian Curvature

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   44.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   59.95
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Reference

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

    Google Scholar 

  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.

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  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.

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1989 Springer-Verlag

About this paper

Cite this paper

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

Download citation

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

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51037-6

  • Online ISBN: 978-3-540-46137-1

  • eBook Packages: Springer Book Archive