cvgmt: Non compactness versus critical points at infinity: an example

Calculus of Variations and Geometric Measure Theory

M. Mayer

Non compactness versus critical points at infinity: an example

created by mayer on 13 Mar 2019
modified by mayer1 on 23 Jul 2026

[BibTeX]

Published Paper

Inserted: 13 mar 2019
Last Updated: 23 jul 2026

Year: 2019
Doi: https://doi.org/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.