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Title
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Smooth manifolds with infinite fundamental group admitting no real projective structure
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Author
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Abstract
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| It is an important question whether it is possible to put a geometry on a given manifold or not. It is well known that any simply connected closed manifold admitting a real projective structure must be a sphere. Therefore, any simply connected manifold M which is not a sphere (dim M >= 4) does not admit a real projective structure. Cooper and Goldman gave an example of a 3-dimensional manifold not admitting a real projective structure and this is the first known example. In this article, by generalizing their work, we construct a manifold M-n with the infinite fundamental group Z(2)*Z(2), for any n >= 4, admitting no real projective structure. |
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Language
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English
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Source (journal)
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Bulletin of the iranian mathematical society. - Tehran, s.a.
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Publication
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Singapore
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Springer singapore pte ltd
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2021
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ISSN
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1017-060X
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DOI
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10.1007/S41980-020-00495-2
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Volume/pages
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47
:S1
(2021)
, p. 335-363
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ISI
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000613959300002
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Full text (Publisher's DOI)
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Full text (open access)
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Full text (publisher's version - intranet only)
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