This article is a survey of recent results about the existence of Riemannian metrics of positive scalar curvature on some open 3-manifolds. This results culminate in a rigidity theorem obtained using the theory of stable minimal surfaces.
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Univ Grenoble 1, Inst Fourier, CNRS, UMR 5582, F-38402 St Martin Dheres, FranceUniv Grenoble 1, Inst Fourier, CNRS, UMR 5582, F-38402 St Martin Dheres, France
Bessieres, Laurent
Besson, Gerard
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Univ Grenoble 1, Inst Fourier, CNRS, UMR 5582, F-38402 St Martin Dheres, FranceUniv Grenoble 1, Inst Fourier, CNRS, UMR 5582, F-38402 St Martin Dheres, France
Besson, Gerard
Maillot, Sylvain
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Univ Montpellier 2, CNRS, UMR 5149, Inst Math & Modelisat Montpellier I3M, F-34095 Montpellier, FranceUniv Grenoble 1, Inst Fourier, CNRS, UMR 5582, F-38402 St Martin Dheres, France