Open Access
2012 Clairaut's Theorem in Minkowski Space
Anis Saad, Robert J. Low
J. Geom. Symmetry Phys. 28: 105-112 (2012). DOI: 10.7546/jgsp-28-2012-105-112


We consider some aspects of the geometry of surfaces of revolution in three-dimensional Minkowski space. First, we show that Clairaut's theorem, which gives a well-known characterization of geodesics on a surface of revolution in Euclidean space, has an analogous result in three-dimensional Minkowski space. We then illustrate the significant differences between the two cases which arise in spite of their formal similarity.


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Anis Saad. Robert J. Low. "Clairaut's Theorem in Minkowski Space." J. Geom. Symmetry Phys. 28 105 - 112, 2012.


Published: 2012
First available in Project Euclid: 26 May 2017

zbMATH: 1295.53009
MathSciNet: MR3114817
Digital Object Identifier: 10.7546/jgsp-28-2012-105-112

Rights: Copyright © 2012 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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