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Robert J. Zimmer (1985)
Revista Matemática Iberoamericana
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In this paper we continue the investigation of [7]-[10] concerning the actions of discrete subgroups of Lie groups on compact manifolds.
Jörg Winkelmann (1998)
Mémoires de la Société Mathématique de France
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Stefan Halverscheid, Andrea Iannuzzi (2006)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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On any real semisimple Lie group we consider a one-parameter family of left-invariant naturally reductive metrics. Their geodesic flow in terms of Killing curves, the Levi Civita connection and the main curvature properties are explicitly computed. Furthermore we present a group theoretical revisitation of a classical realization of all simply connected 3-dimensional manifolds with a transitive group of isometries due to L. Bianchi and É. Cartan. As a consequence one obtains a characterization...
Robert T. Jantzen (1980)
Annales de l'I.H.P. Physique théorique
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Georges Giraud, Michel Boyom (2004)
Open Mathematics
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We consider a real analytic dynamical system G×M→M with nonempty fixed point subset M G. Using symmetries of G×M→M, we give some conditions which imply the existence of transitive Lie transformation group with G as isotropy subgroup.
Grabowski, Janusz
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