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

Published online by Cambridge University Press:  07 August 2001

Shyuichi Izumiya
Affiliation:
Department of Mathematics, Faculty of Science, Hokkaido University, Sapporo 060, Japan
Donghe Pei
Affiliation:
Department of Mathematics, Faculty of Science, Hokkaido University, Sapporo 060, Japan
Takasi Sano
Affiliation:
Department of Mathematics, Faculty of Science, Hokkaido University, Sapporo 060, Japan
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Abstract

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We define the notion of lightcone Gauss maps, lightcone pedal curves and lightcone developables of spacelike curves in Minkowski 3-space and establish the relationships between singularities of these objects and geometric invariants of curves under the action of the Lorentz group.

Type
Research Article
Copyright
2000 Glasgow Mathematical Journal Trust