Contact structures on (n-1)-connected (2n+1)-manifolds
C. B. Thomas (1986)
Banach Center Publications
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C. B. Thomas (1986)
Banach Center Publications
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Kühnel, Wolfgang (2004)
Documenta Mathematica
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P. H. Doyle (1974)
Colloquium Mathematicae
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Sławomir Kwasik, Witold Rosicki (2004)
Fundamenta Mathematicae
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We address the following question: How different can closed, oriented 3-manifolds be if they become homeomorphic after taking a product with a sphere? For geometric 3-manifolds this paper provides a complete answer to this question. For possibly non-geometric 3-manifolds, we establish results which concern 3-manifolds with finite fundamental group (i.e., 3-dimensional fake spherical space forms) and compare these results with results involving fake spherical space...
Benoît Claudon, Andreas Höring (2013)
Bulletin de la Société Mathématique de France
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In this appendix, we observe that Iitaka’s conjecture fits in the more general context of special manifolds, in which the relevant statements follow from the particular cases of projective and simple manifolds.
Arkadiusz Dobrowolski (1989)
Colloquium Mathematicae
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Dušan Repovš (1986)
Banach Center Publications
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Dranishnikov, A.N. (1997)
International Journal of Mathematics and Mathematical Sciences
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Jürgen Eichhorn (2007)
Banach Center Publications
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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.
Frederich H. Jr. Wilhelm (1992)
Inventiones mathematicae
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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.
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.
Freedman, Michael H., Kitaev, Alexei, Nayak, Chetan, Slingerland, Johannes K., Walker, Kevin, Wang, Zhenghan (2005)
Geometry & Topology
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Sicheng Wang (1991)
Mathematische Zeitschrift
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El-Ghoul, M., El-Ahmady, A.E., Abu-Saleem, M. (2007)
APPS. Applied Sciences
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Pripoae, Cristina Liliana, Pripoae, Gabriel Teodor (2005)
Balkan Journal of Geometry and its Applications (BJGA)
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R. J. Daverman (1985)
Compositio Mathematica
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