Global rigidity of solvable group actions on .
Burslem, Lizzie, Wilkinson, Amie (2004)
Geometry & Topology
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Burslem, Lizzie, Wilkinson, Amie (2004)
Geometry & Topology
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Keynes, H.B., Markley, N.G., Sears, M. (1995)
Acta Mathematica Universitatis Comenianae. New Series
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Hasfura-Buenaga, J.R. (1995)
Acta Mathematica Universitatis Comenianae. New Series
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Alejandro Kocsard (2009)
Annales de l'I.H.P. Analyse non linéaire
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Werner, Annette (2001)
Documenta Mathematica
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Sergiy Maksymenko (2009)
Open Mathematics
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Let F be a C ∞ vector field defined near the origin O ∈ ℝn, F(O) = 0, and (Ft) be its local flow. Denote by the set of germs of orbit preserving diffeomorphisms h: ℝn → ℝn at O, and let , (r ≥ 0), be the identity component of with respect to the weak Whitney Wr topology. Then contains a subset consisting of maps of the form Fα(x)(x), where α: ℝn → ℝ runs over the space of all smooth germs at O. It was proved earlier by the author that if F is a linear vector field, then = . In this paper...
Dorabiala, Wojciech
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Let be a cell complex obtained by attaching a 2-cell to a finite bouquet of circles (for example, a closed surface). In terms of the combinatorial type of the attaching map, the paper gives conditions for the existence of a fixed point free (topological) homeomorphism of the complex . Also, quotients of finite group actions on such complexes are considered as well as a condition under which the induced actions on cohomology are trivial.