Homeotopy groups of 3-manifolds---an isomorphism theorem
Mary-Elizabeth Hamstrom (1987)
Colloquium Mathematicae
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Mary-Elizabeth Hamstrom (1987)
Colloquium Mathematicae
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El-Ghoul, M., El-Ahmady, A.E., Abu-Saleem, M. (2007)
APPS. Applied Sciences
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Hanspeter Fischer, David G. Wright (2003)
Fundamenta Mathematicae
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Hass, Rubinstein, and Scott showed that every closed aspherical (irreducible) 3-manifold whose fundamental group contains the fundamental group of a closed aspherical surface, is covered by Euclidean space. This theorem does not generalize to higher dimensions. However, we provide geometric tools with which variations of this theorem can be proved in all dimensions.
P. H. Doyle (1974)
Colloquium Mathematicae
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Darryl McCullough (1986)
Banach Center Publications
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Francesco Costantino (2005)
Fundamenta Mathematicae
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We give a self-contained introduction to the theory of shadows as a tool to study smooth 3-manifolds and 4-manifolds. The goal of the present paper is twofold: on the one hand, it is intended to be a shortcut to a basic use of the theory of shadows, on the other hand it gives a sketchy overview of some of the most recent results on shadows. No original result is proved here and most of the details of the proofs are left out.
Konrad Czaja (2005)
Bulletin of the Polish Academy of Sciences. Mathematics
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It is known that compact complex manifolds of general type and Kobayashi hyperbolic manifolds have finite automorphism groups. We give criteria for finiteness of the automorphism group of a compact complex manifold which allow us to produce large classes of compact complex manifolds with finite automorphism group but which are neither of general type nor Kobayashi hyperbolic.
Lloyd G. Roeling (1976)
Colloquium Mathematicae
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Pripoae, Cristina Liliana, Pripoae, Gabriel Teodor (2005)
Balkan Journal of Geometry and its Applications (BJGA)
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Burt Totaro (2003)
Journal of the European Mathematical Society
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G. D'Ambra (1988)
Inventiones mathematicae
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Patrick Eberlein (1982)
Mathematische Annalen
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Oliver Attie (1994)
Mathematische Zeitschrift
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L. Szamkołowicz (1969)
Colloquium Mathematicae
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Laurent Bonavero, Andreas Höring (2007)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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In this paper we study the structure of manifolds that contain a quasi-line and give some evidence towards the fact that the irreducible components of degenerations of the quasi-line should determine the Mori cone. We show that the minimality with respect to a quasi-line yields strong restrictions on fibre space structures of the manifold.
C. B. Thomas (1986)
Banach Center Publications
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R.J. Zimmer (1984)
Inventiones mathematicae
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Craig R. Guilbault (2007)
Fundamenta Mathematicae
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We present a characterization of those open n-manifolds (n ≥ 5) whose products with the real line are homeomorphic to interiors of compact (n+1)-manifolds with boundary.