Displaying similar documents to “Multi-time sprays and h -traceless maps on J 1 ( T , M ) .”

Fixed points on Klein bottle fiber bundles over the circle

D. L. Gonçalves, D. Penteado, J. P. Vieira (2009)

Fundamenta Mathematicae

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The main purpose of this work is to study fixed points of fiber-preserving maps over the circle S¹ for spaces which are fiber bundles over S¹ and the fiber is the Klein bottle K. We classify all such maps which can be deformed fiberwise to a fixed point free map. The similar problem for torus fiber bundles over S¹ has been solved recently.

Covariant differentiation of geometric objects

A. Szybiak

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CONTENTSI. Introduction................................................................................................................. 5II. Covariant differentiation in fibre bundles............................................................. 7III. Connection with the Lie derivation....................................................................... 16IV. Connections in the bundles of differential objects........................................... 19V. Definition of the covariant...