Fixed points on torus fiber bundles over the circle

• Autorzy: D. L. Gonçalves , D. Penteado , J. P. Vieira
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 55M20: Fixed points and coincidences
• 55R10: Fiber bundles

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2004
• Tom: 183
• Numer: 1
• Strony: 1-38

Daty

wydano

2004

Twórcy

autor

D. L. Gonçalves

• Departamento de Matemática, IME-USP, Caixa Postal 66.281, São Paulo 05311-970, Brazil

autor

D. Penteado

• Departamento de Matemática, Universidade Federal de São Carlos, Rodovia Washington Luiz, Km 235, São Carlos 13565-905, Brazil

autor

J. P. Vieira

• Departamento de Matemática, I.G.C.E-UNESP, Caixa Postal 178, Rio Claro 13500-230, Brazil

Identyfikatory

DOI

10.4064/fm183-1-1