English

A classification of taut, Stein surfaces with a proper $\R$-action

Complex Variables 2010-06-11 v3

Abstract

We present a classification of 2-dimensional, taut, Stein manifolds with a proper R\R-action. For such manifolds the globalization with respect to the induced local \C\C-action turns out to be Stein. As an application we determine all 2-dimensional taut, non-complete, Hartogs domains over a Riemann surface.

Keywords

Cite

@article{arxiv.1004.2862,
  title  = {A classification of taut, Stein surfaces with a proper $\R$-action},
  author = {Andrea Iannuzzi and Stefano Trapani},
  journal= {arXiv preprint arXiv:1004.2862},
  year   = {2010}
}

Comments

v3: proof of Prop. 4.1 changed and minor changes