Use this URL to cite or link to this record in EThOS:  http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.664331 
Title:  Fundamental domains for leftright actions in Lorentzian geometry  
Author:  Bin Turki, Nasser 
ISNI:
0000 0004 5362 7851


Awarding Body:  University of Liverpool  
Current Institution:  University of Liverpool  
Date of Award:  2014  
Availability of Full Text: 


Abstract:  
We consider tilde{G} = tilde{SU}(1, 1) = tilde{SL}(2,R). The aim of this thesis is to compute the fundamental domains for two series of groups of the form tilde{Gamma}_1 X tilde{Gamma}_2 acting on tilde{G} by leftright multiplication,i.e. (g, h) . x = gxh^{−1}, where tilde{Gamma}_1 and tilde{Gamma}_2 are discrete subgroups of tilde{G} of the same finite level and tilde{Gamma}_2 is cyclic. The level of a subgroup tilde{Gamma} in tilde{G} is defined as the index of the group tilde{Gamma} intersection with Z(tilde{G}) in the center Z(tilde{G}) =� Z. From computing the fundamental domain we can describe the biquotients tilde{Gamma}_1 \ tilde{G} / tilde{Gamma}_2 which are diffeomorphic to the links of certain quasihomogeneous QGorenstein surface singularities, i.e. the intersections of the singular variety with suffi�ciently small spheres around the isolated singular point as shown in [16].


Supervisor:  Not available  Sponsor:  Not available  
Qualification Name:  Thesis (Ph.D.)  Qualification Level:  Doctoral  
EThOS ID:  uk.bl.ethos.664331  DOI:  Not available  
Keywords:  QA Mathematics  
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