Somewhere dense orbit of abelian subgroup of diffeomorphisms maps acting on C^n

Yahya N'Dao; Adlene Ayadi

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arXiv · 1211.1130

Somewhere dense orbit of abelian subgroup of diffeomorphisms maps acting on C^n

Yahya N'Dao·Adlene Ayadi

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Abstract

In this paper, we give a characterization for any abelian subgroup G of a lie group of diffeomorphisms maps of C^n, having a somewhere dense orbit G(x), x in C^n: G(x) is somewhere dense in C^n if and only if there are f_{1},....,f_{2n+1 in exp^{-1}(G) such that f_{2n+1} in vect(f_{1},...,f_{2n}) and Z.f_{1}(x)+....+Z.f_{2n+1}(x) is dense subgroup of C^n, where vect(f_{1},....,f_{2n}) is the vector space over R generated by f_{1},....,f_{2n}.

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BibTeX RIS

Yahya N'Dao, Adlene Ayadi. 2012-11-07. Somewhere dense orbit of abelian subgroup of diffeomorphisms maps acting on C^n. https://arxiv.org/abs/1211.1130

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