Rigity results on \(\rho\)-Einstein solitons with zero scalar curvature

Rigity results on \(\rho\)-Einstein solitons with zero scalar curvature

In this paper we show that a \(\rho\)-Einstein solitons conformal to a pseudo-Euclidean space, invariant under the action of the pseudo-orthogonal group with zero scalar curvature is stady and consequently flat. How application of the results obtained we present an explicit example for a the questio...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:arXiv.org 2021-02
Hauptverfasser: Pina, Romildo, Menezes, Ilton, Silva, Lucyjane
Format: Artikel
Sprache:eng
Schlagworte:
Curvature
Euclidean geometry
Euclidean space
Solitary waves
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this paper we show that a \(\rho\)-Einstein solitons conformal to a pseudo-Euclidean space, invariant under the action of the pseudo-orthogonal group with zero scalar curvature is stady and consequently flat. How application of the results obtained we present an explicit example for a the question proposed by Kazdan in [17].
ISSN:2331-8422