Rigidity of complete manifolds with parallel Cotton tensor

The aim of this paper is to show some rigidity results for complete Riemannian manifolds with parallel Cotton tensor. In particular, we prove that any compact manifold of dimension n ≥ 3 with parallel Cotton tensor and positive constant scalar curvature is isometric to a finite quotient of S n under...

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	Archiv der Mathematik 2017-08, Vol.109 (2), p.179-189
Hauptverfasser:	Chu, Yawei, Fang, Shouwen
Format:	Artikel
Sprache:	eng
Schlagworte:	Cotton Curvature Manifolds (mathematics) Mathematics Mathematics and Statistics Maximum principle Probability theory Randomness Rigidity
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!