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On natural derivatives and the curvature formula in fibre bundles
fibre bundles natural derivatives connections integrability covariant derivatives
2011/8/31
Abstract: In a fibre bundle, natural derivatives of a section are defined as tangent vector fields on the image of a section of the fibre bundle. A local extension to vector fields in the tangent bund...
Exotic smooth structures on topological fibre bundles
Exotic smooth structures topological fibre bundles
2010/11/24
We use a variation of Hatcher's construction to construct virtually all stable exotic smooth structures on compact smooth manifold bundles whose fibers have sufficiently large odd dimension (at least...