Matches in SemOpenAlex for { <https://semopenalex.org/work/W2003193826> ?p ?o ?g. }
Showing items 1 to 77 of
77
with 100 items per page.
- W2003193826 endingPage "353" @default.
- W2003193826 startingPage "337" @default.
- W2003193826 abstract "The transformation group of the universal covering of the real projective line, obtained by lifting ordinary projective transformations, is given explicitly in terms of canonical coordinates. A similar formulation is given of the action of the universal covering of SU (2, 2) upon the universal covering of the Šhilov boundary of its associated bounded Hermitian symmetric domain, structured as R 1 × SU (2). The former group G ̃ , isomorphic to S ̃ U(1, 1) , has a unique and continuous bi-invariant global partial ordering ⩽ (similar to that expressing space-time causality relations) corresponding to its bivariant Lorentzian metric; the partial ordering is the same as that induced by the ordering of the real line which the transformation group preserves. As an application, the compactness of the intervals [g 1 , g 2 ] = {g ϵ G ̃ : g 1 ⩽ g ⩽ g 2 } for g 1 , g 2 ϵ G ̃ , necessary for global hyperbolicity of the metric, is studied. It is shown that [g 1 , g 2 ] is compact if and only if g ⩽ ζg 1 for all g in a neighborhood of g 2 , where ζ is the generator of the center of G ̃ satisfying ζ ⩾ e . In particular, the interior of [ e , ζ ] is a maximal open global hyperbolic submanifold; S ̃ U(1, 1) is not globally hyperbolic." @default.
- W2003193826 created "2016-06-24" @default.
- W2003193826 creator A5002035606 @default.
- W2003193826 date "1985-07-01" @default.
- W2003193826 modified "2023-10-16" @default.
- W2003193826 title "Parametrization of causal actions of universal covering groups and global hyperbolicity" @default.
- W2003193826 cites W1659707549 @default.
- W2003193826 cites W1971192537 @default.
- W2003193826 cites W1979290823 @default.
- W2003193826 cites W1983894121 @default.
- W2003193826 cites W1991352529 @default.
- W2003193826 cites W2010754763 @default.
- W2003193826 cites W2014064802 @default.
- W2003193826 cites W2015683036 @default.
- W2003193826 cites W2030839697 @default.
- W2003193826 cites W2040444533 @default.
- W2003193826 cites W2064329752 @default.
- W2003193826 cites W2328658471 @default.
- W2003193826 cites W610402534 @default.
- W2003193826 cites W628774535 @default.
- W2003193826 cites W641114598 @default.
- W2003193826 cites W66026566 @default.
- W2003193826 doi "https://doi.org/10.1016/0022-1236(85)90009-6" @default.
- W2003193826 hasPublicationYear "1985" @default.
- W2003193826 type Work @default.
- W2003193826 sameAs 2003193826 @default.
- W2003193826 citedByCount "1" @default.
- W2003193826 crossrefType "journal-article" @default.
- W2003193826 hasAuthorship W2003193826A5002035606 @default.
- W2003193826 hasBestOaLocation W20031938261 @default.
- W2003193826 hasConcept C134306372 @default.
- W2003193826 hasConcept C151300846 @default.
- W2003193826 hasConcept C162329640 @default.
- W2003193826 hasConcept C178790620 @default.
- W2003193826 hasConcept C185592680 @default.
- W2003193826 hasConcept C18648836 @default.
- W2003193826 hasConcept C190470478 @default.
- W2003193826 hasConcept C202444582 @default.
- W2003193826 hasConcept C2781311116 @default.
- W2003193826 hasConcept C33923547 @default.
- W2003193826 hasConcept C34388435 @default.
- W2003193826 hasConcept C37914503 @default.
- W2003193826 hasConcept C46467970 @default.
- W2003193826 hasConceptScore W2003193826C134306372 @default.
- W2003193826 hasConceptScore W2003193826C151300846 @default.
- W2003193826 hasConceptScore W2003193826C162329640 @default.
- W2003193826 hasConceptScore W2003193826C178790620 @default.
- W2003193826 hasConceptScore W2003193826C185592680 @default.
- W2003193826 hasConceptScore W2003193826C18648836 @default.
- W2003193826 hasConceptScore W2003193826C190470478 @default.
- W2003193826 hasConceptScore W2003193826C202444582 @default.
- W2003193826 hasConceptScore W2003193826C2781311116 @default.
- W2003193826 hasConceptScore W2003193826C33923547 @default.
- W2003193826 hasConceptScore W2003193826C34388435 @default.
- W2003193826 hasConceptScore W2003193826C37914503 @default.
- W2003193826 hasConceptScore W2003193826C46467970 @default.
- W2003193826 hasIssue "3" @default.
- W2003193826 hasLocation W20031938261 @default.
- W2003193826 hasOpenAccess W2003193826 @default.
- W2003193826 hasPrimaryLocation W20031938261 @default.
- W2003193826 hasRelatedWork W1667935874 @default.
- W2003193826 hasRelatedWork W1989920940 @default.
- W2003193826 hasRelatedWork W1997119217 @default.
- W2003193826 hasRelatedWork W2063684714 @default.
- W2003193826 hasRelatedWork W2143829464 @default.
- W2003193826 hasRelatedWork W2159246404 @default.
- W2003193826 hasRelatedWork W2341354911 @default.
- W2003193826 hasRelatedWork W2376950174 @default.
- W2003193826 hasRelatedWork W2964186541 @default.
- W2003193826 hasRelatedWork W3042080372 @default.
- W2003193826 hasVolume "62" @default.
- W2003193826 isParatext "false" @default.
- W2003193826 isRetracted "false" @default.
- W2003193826 magId "2003193826" @default.
- W2003193826 workType "article" @default.