Prescribing scalar curvatures: loss of minimizability

Prescribing scalar curvatures: loss of minimizability

Prescribing conformally the scalar curvature on a closed manifold with negative Yamabe invariant as a given function \(K\) is possible under smallness assumptions on \(K_{+}=\max\{K,0\}\) and in particular, when \(K

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:arXiv.org 2024-07
Hauptverfasser: Mayer, Martin, Zhu, Chaona
Format: Artikel
Sprache:eng
Schlagworte:
Critical point
Curvature
Saddle points
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:Prescribing conformally the scalar curvature on a closed manifold with negative Yamabe invariant as a given function \(K\) is possible under smallness assumptions on \(K_{+}=\max\{K,0\}\) and in particular, when \(K
ISSN:2331-8422