Prescribing scalar curvatures: non compactness versus critical points at infinity
Differential Geometry
2020-01-28 v2
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.
Keywords
Cite
@article{arxiv.1903.04943,
title = {Prescribing scalar curvatures: non compactness versus critical points at infinity},
author = {Martin Mayer},
journal= {arXiv preprint arXiv:1903.04943},
year = {2020}
}