Generalized Elastic Curves in Lorentz Flat Space <em>L</em><sup>4</sup>

HUANG Rong-pei; SHANG Dong-hu

doi:10.3879/j.issn.1000-0887.2009.09.014

Volume 30 Issue 9

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HUANG Rong-pei, SHANG Dong-hu. Generalized Elastic Curves in Lorentz Flat Space L4[J]. Applied Mathematics and Mechanics, 2009, 30(9): 1117-1124. doi: 10.3879/j.issn.1000-0887.2009.09.014

Citation:

HUANG Rong-pei, SHANG Dong-hu. Generalized Elastic Curves in Lorentz Flat Space L⁴[J]. Applied Mathematics and Mechanics, 2009, 30(9): 1117-1124. doi: 10.3879/j.issn.1000-0887.2009.09.014

HUANG Rong-pei, SHANG Dong-hu. Generalized Elastic Curves in Lorentz Flat Space L4[J]. Applied Mathematics and Mechanics, 2009, 30(9): 1117-1124. doi: 10.3879/j.issn.1000-0887.2009.09.014

Citation:

HUANG Rong-pei, SHANG Dong-hu. Generalized Elastic Curves in Lorentz Flat Space L⁴[J]. Applied Mathematics and Mechanics, 2009, 30(9): 1117-1124. doi: 10.3879/j.issn.1000-0887.2009.09.014

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Generalized Elastic Curves in Lorentz Flat Space L⁴

doi: 10.3879/j.issn.1000-0887.2009.09.014

Department of Mathematics, East China Normal University, Shanghai 200241, P. R. China

Received Date: 2009-03-23
Rev Recd Date: 2009-07-15
Publish Date: 2009-09-15

Abstract

Abstract

The extremals of curvature energy actions on non-null curves in 4-dimensional Lorentz-Minkowski space are studied.The motion equations were worked out and three Killing fields along the generalized elastic curves were found.A cylindric coordinate system by using these Killing fields was constructed and the generalized elastic curves by quadratures were expressed.
- generalized elastic curve,
- geometrical particle model,
- Killing field,
- Lorentz-Minkowskispace

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References(10)

References

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