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Singularities of focal surfaces of null Cartan curves in Minkowski 3-space. (English) Zbl 1253.53005

Summary: 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.

MSC:

53A04 Curves in Euclidean and related spaces
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