Prescribing scalar curvatures: non compactness versus critical points at infinity
arXiv:1903.04943 · doi:10.1515/geofl-2019-0004
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.