Lines of principal curvature around umbilics and Whitney umbrellas

DOI 10 Citations 6 References

Search this article

Description

In this paper is studied the configuration of lines of curvature near a Whitney umbrella which is the unique stable singularity for maps of surfaces into R^3. The pattern of such configuration is established and characterized in terms of the 3-jet of the map. The result is used to establish an expression for the Euler-Poincare characteristic in terms of the number of umbilics and umbrellas.

Journal

Citations (10)*help

See more

References(6)*help

See more

Details 詳細情報について

  • CRID
    1390282680093826176
  • NII Article ID
    110000026908
  • NII Book ID
    AA00863953
  • DOI
    10.2748/tmj/1178224605
  • ISSN
    2186585X
    00408735
  • MRID
    1756092
  • Text Lang
    en
  • Data Source
    • JaLC
    • Crossref
    • CiNii Articles
  • Abstract License Flag
    Disallowed

Report a problem

Back to top