Mayer, MartinMartinMayer2023-02-092015-09-112023-02-092015http://nbn-resolving.de/urn:nbn:de:hebis:26-opus-116912https://jlupub.ub.uni-giessen.de/handle/jlupub/10321http://dx.doi.org/10.22029/jlupub-9705Let (Mn, g0) be a n=3,4,5 dimensional, closed Riemannian manifold of positive Yamabe invariant.For a smooth function K > 0 on M we consider a scalar curvature flow, that tends to prescribe K as the scalar curvature of a metric g conformal to g0.We show global existence and in case M is not conformally equivalent to the standard sphere smooth flow convergence and solubility of the prescribed scalar curvature problem under suitable conditions on K.enIn Copyrightddc:510A scalar curvature flow in low dimensionsEin Skalarkrümmungsfluß in niedrigen Dimensionen