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

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

2010-04-16

arxiv.org/abs/1004.2862v3

Mathematics

Complex Variables

v3: proof of Prop. 4.1 changed and minor changes

Scientific paper

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

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