dc.contributor.author Humilière, Vincent dc.contributor.author Roy, Nicolas dc.date.accessioned 2009-03-20T12:00:36Z dc.date.accessioned 2016-10-05T14:14:11Z dc.date.available 2009-03-20T12:00:36Z dc.date.available 2016-10-05T14:14:11Z dc.date.issued 2009-03-09 dc.identifier.uri http://publications.mfo.de/handle/mfo/1149 dc.description Research in Pairs 2009 en_US dc.description.abstract We study geometrical aspects of the space of fibrations between two given manifolds $M$ and $B$, from the point of view of Fréchet geometry. As a first result, we show that any connected component of this space is the base space of a Fréchet-smooth principal bundle with the identity component of the group of diffeomorphisms of $M$ as total space. Second, we prove that the space of fibrations is also itself the total space of a smooth Fréchet principal bundle with structure group the group of diffeomorphisms of the base $B$ . dc.language.iso en en_US dc.publisher Mathematisches Forschungsinstitut Oberwolfach en_US dc.relation.ispartofseries Oberwolfach Preprints;2009,15 dc.title On the geometry of the space of fibrations en_US dc.type Preprint en_US dc.identifier.doi 10.14760/OWP-2009-15 local.scientificprogram Research in Pairs 2009 local.series.id OWP-2009-15
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