منابع مشابه
Clairaut’s Theorem in Minkowski Space
Abstract. 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 ari...
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In Euclidean space, the geodesics on a surface of revolution can be characterized by means of Clairaut’s theorem, which essentially says that the geodesics are curves of fixed angular momentum. A similar result is known for three dimensional Minkowski space for timelike geodesics on surfaces of revolution about the time axis. Here, we extend this result to consider generalizations of surfaces o...
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ژورنال
عنوان ژورنال: Kyoto Journal of Mathematics
سال: 2006
ISSN: 2156-2261
DOI: 10.1215/kjm/1250281796