The lightcone Gauss map and the lightconedevelopable of a spacelike curve in Minkowski 3-space

Shyuichi Izumiya; Donghe Pei; Takasi Sano

doi:10.1017/S0017089500010107

Abstract

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We define the notion of lightcone Gauss maps,lightcone pedal curves and lightcone developables of spacelike curves inMinkowski 3-space and establish the relationships between singularities of theseobjects and geometric invariants of curves under the action of the Lorentzgroup.

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The lightcone Gauss map and the lightconedevelopable of a spacelike curve in Minkowski 3-space

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