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arXiv · 1903.04943

Prescribing scalar curvatures: non compactness versus critical points at infinity

Martin Mayer
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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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Martin Mayer. 2019-03-12. Prescribing scalar curvatures: non compactness versus critical points at infinity. https://doi.org/10.1515/geofl-2019-0004

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