SALOOM, AMANI (2012) Curves in the Minkowski plane and
Lorentzian surfaces. Doctoral thesis, Durham University.
|PDF - Accepted Version|
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.
|Item Type:||Thesis (Doctoral)|
|Award:||Doctor of Philosophy|
|Keywords:||Caustic Evolute Minkowski plane Parallels Singularities Ovals Lorentzian surfaces Asymptotic curves Principal curves Characteristic curves Bifurcations Topological models.|
|Faculty and Department:||Faculty of Science > Mathematical Sciences, Department of|
|Copyright:||Copyright of this thesis is held by the author|
|Deposited On:||29 Aug 2012 12:20|