A Characterization of the Sphere and Euclidean Space by Transformation Groups.
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Herbert Abels, Annette Lauer (1976)
Mathematische Zeitschrift
Steinke, Günter F. (2004)
Advances in Geometry
Kirill Mackenzie (1987)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
W. Ruppert (1978)
Semigroup forum
W. Ruppert (1985)
Semigroup forum
A. Zajtz (1987)
Aequationes mathematicae
D. Luna (1975)
Inventiones mathematicae
Robert J. Zimmer (1981)
Compositio Mathematica
Andrew Ranicki, Michael Weiss (1990)
Mathematische Zeitschrift
Gordon Wassermann (1988)
Banach Center Publications
Y. Félix (1980)
Mémoires de la Société Mathématique de France
Herbert Abels (1978)
Journal für die reine und angewandte Mathematik
Polychronis Strantzalos (1974)
Manuscripta mathematica
Peter Wong (1999)
Banach Center Publications
John Kalliongis, Ryo Ohashi (2017)
Commentationes Mathematicae Universitatis Carolinae
We describe the finite group actions, up to equivalence, which can act on the orbifold , and their quotient types. This is then used to consider actions on prism manifolds which preserve a longitudinal fibering, but do not leave any Heegaard Klein bottle invariant. If is such an action, we show that and fibers over a certain collection of 2-orbifolds with positive Euler characteristic which are covered by . For the standard actions, we compute the fundamental group of and indicate when...
Katsuhiro Komiya (1988)
Inventiones mathematicae
Peter Wong (2005)
Fundamenta Mathematicae
Let G be a compact connected Lie group, K a closed subgroup and M = G/K the homogeneous space of right cosets. Suppose that M is orientable. We show that for any selfmap f: M → M, L(f) = 0 ⇒ N(f) = 0 and L(f) ≠ 0 ⇒ N(f) = R(f) where L(f), N(f), and R(f) denote the Lefschetz, Nielsen, and Reidemeister numbers of f, respectively. In particular, this implies that the Lefschetz number is a complete invariant, i.e., L(f) = 0 iff f is deformable to be fixed point free. This was previously known under...
Wolfgang Woess (1993)
Mathematische Zeitschrift
Barbot, Thierry (2001)
Geometry & Topology
John R. Isbell (1975)
Mathematica Scandinavica
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