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A comparison of original and inverse motion in Minkowski plane. (English) Zbl 1448.53023

This paper regards the kinematics of the Minkowski plane (one of the Cayley-Klein plane geometries). The authors determine the special locus curves for the inverse motion of Minkowski planes and interpret the relationship between the circling-point and center-point curves (whose real asymptotes are computed) by comparing the original and inverse motion. The methods are algebraic and elementarily differential throughout.

MSC:

53B30 Local differential geometry of Lorentz metrics, indefinite metrics
70B05 Kinematics of a particle
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