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Singularities of Focal Surfaces of Null Cartan Curves in Minkowski 3-Space

Author

Listed:
  • Zhigang Wang
  • Donghe Pei
  • Liang Chen
  • Lingling Kong
  • Qixing Han

Abstract

Singularities of the focal surfaces and the binormal indicatrix associated with a null Cartan curve will be investigated in Minkowski 3-space. The relationships will be revealed between singularities of the above two subjects and differential geometric invariants of null Cartan curves; these invariants are deeply related to the order of contact of null Cartan curves with tangential planar bundle of lightcone. Finally, we give an example to illustrate our findings.

Suggested Citation

  • Zhigang Wang & Donghe Pei & Liang Chen & Lingling Kong & Qixing Han, 2012. "Singularities of Focal Surfaces of Null Cartan Curves in Minkowski 3-Space," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-20, October.
    • Handle: RePEc:hin:jnlaaa:823809
    DOI: 10.1155/2012/823809
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