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Fixed points on torus fiber bundles over the circle

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Gonçalves D., Penteado D., Vieira J.

Fundamenta Mathematicae

2004

tom 183

nr 1

1-38

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 S¹ which can be deformed fiberwise to a fixed point free map.

Fixed points on Klein bottle fiber bundles over the circle

100%

Gonçalves D., Penteado D., Vieira J.

Fundamenta Mathematicae

2009

tom 203

nr 3

263-292

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.

Ograniczanie wyników

2 Fundamenta Mathematicae

2 Gonçalves D.

2 Penteado D.

2 Vieira J.

1 2009

1 2004

Wyniki wyszukiwania

Fixed points on torus fiber bundles over the circle

Fixed points on Klein bottle fiber bundles over the circle