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Zbl 0703.53019
Urbantke, H.
Local differential geometry of null curves in conformally flat space- time. (English)
[J] J. Math. Phys. 30, No.10, 2238-2245 (1989). ISSN 0022-2488; ISSN 1089-7658/e

The author investigates the conformally invariant differential geometry of null curves in conformally flat space-times using the six-vector formalism as well as a twistor description. The result is the expected one: There is a conformally invariant parameter and two conformally invariant curvatures which, when specified by this parameter, characterizes the curve up to conformal transformations.
[H.Dehnen]
MSC 2000:
*53B30 Lorentz metrics, indefinite metrics
53B50 Appl. of local differential geometry to physics
83C10 Equations of motion

Keywords: null curves; conformally flat space-times; twistor description

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