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- W2947661321 abstract "We study geometrical aspects of the space of fibrations between two given manifolds M and B, from the point of view of Frechet geometry. As a first result, we show that any connected component of this space is the base space of a Frechet-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 Frechet principal bundle with structure group the group of diffeomorphisms of the base B." @default.
- W2947661321 created "2019-06-07" @default.
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- W2947661321 date "2009-03-09" @default.
- W2947661321 modified "2023-09-27" @default.
- W2947661321 title "On the geometry of the space of fibrations" @default.
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- W2947661321 doi "https://doi.org/10.14760/owp-2009-15" @default.
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