Fixed points of abelian actions on S2
نویسندگان
چکیده
We prove that if F is a finitely generated abelian group of orientation preserving C1 diffeomorphisms of R2 which leaves invariant a compact set then there is a common fixed point for all elements of F . We also show that if F is any abelian subgroup of orientation preserving C1 diffeomorphisms of S2 then there is a common fixed point for all elements of a subgroup of F with index
منابع مشابه
Se p 20 05 Fixed Points of abelian actions on S 2
We prove that if F is a finitely generated abelian group of orientation preserving C1 diffeomorphisms of R2 which leaves invariant a compact set then there is a common fixed point for all elements of F . We also show that if F is any abelian subgroup of orientation preserving C1 diffeomorphisms of S2 then there is a common fixed point for all elements of a subgroup of F with index
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تاریخ انتشار 2008