Curves in the Minkowski plane and Lorentzian surfaces

Autor:	Saloom, Amani Hussain
Rok vydání:	2012
Předmět:	516.3 Caustic Evolute Minkowski plane Parallels Singularities Ovals Lorentzian surfaces Asymptotic curves Principal curves Characteristic curves Bifurcations Topological models
Druh dokumentu:	Electronic Thesis or Dissertation
Popis:	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.
Databáze:	Networked Digital Library of Theses & Dissertations
Externí odkaz:	http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.694847 Zobrazit plný text záznamu