Journal of Northeastern University(Natural Science)

Journal of Northeastern University ›› 2012, Vol. 33 ›› Issue (4): 605-608.DOI: -

• OriginalPaper • Previous Articles    

Curve characterization in 3D affine space

Yu, Yan-Hua (1); Yang, Yun (1); Liu, Hui-Li (1)   

  1. (1) School of Sciences, Northeastern University, Shenyang 110819, China
  • Received:2013-06-19 Revised:2013-06-19 Published:2013-04-04
  • Contact: Yang, Y.
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Abstract: The structure equations of curves were studied in 3D affine space, and the invariants of space curves were discussed in the semi Euclid space. A space curve that is both in 3D Euclid space and 3D Minkowski space was considered, and two invariants were obtained which are curvature, torsion and moment of inertia dependent. It was verified that the two invariants are independent of the choice of inner products.

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