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dc.contributor.authorHumilière, Vincent
dc.contributor.authorRoy, Nicolas
dc.date.accessioned2009-03-20T12:00:36Z
dc.date.accessioned2016-10-05T14:14:11Z
dc.date.available2009-03-20T12:00:36Z
dc.date.available2016-10-05T14:14:11Z
dc.date.issued2009-03-09
dc.identifier.urihttp://publications.mfo.de/handle/mfo/1149
dc.descriptionResearch in Pairs 2009en_US
dc.description.abstractWe 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.isoenen_US
dc.publisherMathematisches Forschungsinstitut Oberwolfachen_US
dc.relation.ispartofseriesOberwolfach Preprints;2009,15
dc.titleOn the geometry of the space of fibrationsen_US
dc.typePreprinten_US
dc.identifier.doi10.14760/OWP-2009-15
local.scientificprogramResearch in Pairs 2009
local.series.idOWP-2009-15


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