Finite CC^{\infty}-actions are described by a single vector field

  • Francisco Javier Turiel

    Universidad de Málaga, Spain
  • Antonio Viruel

    Universidad de Málaga, Spain

Abstract

In this work it is shown that given a connected CC^{\infty}-manifold MM of dimension 2\geq 2 and a finite subgroup GDiff(M)G\subset \operatorname{Diff}(M), there exists a complete vector field XX on MM such that its automorphism group equals G×RG\times \mathbb{R}, where the factor R\mathbb{R} comes from the flow of XX.

Cite this article

Francisco Javier Turiel, Antonio Viruel, Finite CC^{\infty}-actions are described by a single vector field. Rev. Mat. Iberoam. 30 (2014), no. 1, pp. 317–330

DOI 10.4171/RMI/780