On 3-manifolds with Positive Sigma Constant
نویسنده
چکیده
Using a recent result of Bessières-Lafontaine-Rozoy, it is proved that any 3-manifold which admits a Yamabe metric of maximal positive scalar curvature is necessarily a spherical spaceform S/Γ, and the metric is the round metric on S/Γ. On all other 3-manifolds admitting a metric of positive scalar curvature, any maximizing sequence of Yamabe metrics has curvature diverging to infinity in L.
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تاریخ انتشار 2002