Connections on 1-jets principal fiber bundles
Connections on higher order tangent bundles
Connections on infinite dimensional manifolds with corners
Continuity of projections of natural bundles
This paper is a contribution to the axiomatic approach to geometric objects. A collection of a manifold M, a topological space N, a group homomorphism E: Diff(M) → Homeo(N) and a function π: N → M is called a quasi-natural bundle if (1) π ∘ E(f) = f ∘ π for every f ∈ Diff(M) and (2) if f,g ∈ Diff(M) are two diffeomorphisms such that f|U = g|U for some open subset U of M, then E(f)|π^{-1}(U) = E(g)|π^{-1}(U). We give conditions which ensure that π: N → M is continuous. In particular, if (M,N,E,π)...
Converting compact and fibrations into locally trivial bundles with compact manifolds as fibres
Decomposability of evaluation fibrations and the brace product operation of James
Dehnungsuntersuchungen an Sphärenabbildungen.
Die Adjunktenbildung von Matrizen als Bündelprojektion.
Die Signatur von Flächenbündeln.
Erratum
Evaluation of the Transfer and the Universal Surgery Classes.
Examples of parallel spin-tensors.
Fibering Hilbert cube manifolds over ANRs
Fibrations and classifying spaces : an axiomatic approach I
Fibrations and classifying spaces : an axiomatic approach II
Fibrations and classifying spaces : overview and the classical examples
Fibre bundles associated with fields of geometric objects and the structure tensor
Fibrované variety a kvantová teorie
Fixed points on Klein bottle fiber bundles over the circle
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.
Fixed points on torus fiber bundles over the circle
The main purpose of this work is to study fixed points of fiber-preserving maps over the circle S¹ for spaces which are fibrations over S¹ and the fiber is the torus ,T. For the case where the fiber is a surface with nonpositive Euler characteristic, we establish general algebraic conditions, in terms of the fundamental group and the induced homomorphism, for the existence of a deformation of a map over S¹ to a fixed point free map. For the case where the fiber is a torus, we classify all maps over...