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Title: Curves in the Minkowski plane and Lorentzian surfaces
Author: Saloom, Amani Hussain
Awarding Body: Durham University
Current Institution: Durham University
Date of Award: 2012
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We investigate in this thesis the generic properties of curves in the Minkowski plane R2 1 and of smooth Lorentzian surfaces. The generic properties of curves in R2 1 are obtained by studying the contacts of curves in R2 1 with lines and pseudo-circles. These contacts are captured by the singularities of the families of height and distancesquared functions on the curves. On the other hand, the generic properties of smooth Lorentzian surfaces are obtained by studying certain Binary Differential Equations defined on the surfaces.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: Caustic ; Evolute ; Minkowski plane ; Parallels ; Singularities ; Ovals ; Lorentzian surfaces ; Asymptotic curves ; Principal curves ; Characteristic curves ; Bifurcations ; Topological models