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Prescribing scalar curvatures: non compactness versus critical points at infinity

2019/03/12 by Mayer, Martin
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1903.04943

Abstract

We illustrate an example of a generic, positive function K on a Riemannian manifold to be conformally prescribed as the scalar curvature, for which the corresponding Yamabe type L2-gradient flow exhibits non compact flow lines, while a slight modification of it is compact.

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