Sketched stable planes [Elektronische Ressource] / vorgelegt von Anke Wich

Sketched Stable PlanesVon der Fakultat Mathematik und Physik der Universitat Stuttgart zur Erlangung der Wurde einer Doktorin derNaturwissenschaften (Dr. rer. nat.) genehmigte Abhandlungvorgelegt vonAnke Wichaus Kelkheim im TaunusHauptberichter Prof. Dr. Markus StroppelMitberichter Prof. Dr. Hermann HahlTag der mundlichen Prufung 13. Februar 2003 Institut fur Geometrie und Topologie der Universitat Stuttgart2003Anke WichInstitut fur Geometrie und TopologieLehrstuhl fur GeometrieUniversitat StuttgartPfa enwaldring 57D-70569 Stuttgartwich@mathematik.uni-stuttgart.deMathematics Subject Classi cation (MSC 1991) :51H10 Topological linear incidence geometries51H20 Topological geometries on manifolds51A40 Translation planes and spreads51A45 Incidence structures imbeddable into projective geometries51A10 Homomorphism, automorphism and dualities22F50 Groups as automorphisms of other structures57S20 Noncompact Lie groups of transformations51J99 Incidence groupsKeywords : topological geometry, stable plane, complex projective plane, transformationgroup, group partition, embeddingThis thesis is also available as an online publication athttp://elib.uni-stuttgart.de/opusAbstractStandard objects in classical (topological) geometry are the real a ne and hyperbolicplanes. Both of them can be seen as (open) subplanes of the real projective plane(endowed with the standard topology) and thus share a common theory.