An almost Schur theorem on 4-dimensional manifolds

In this short paper we prove that the almsost Schur theorem, introduced by De Lellis and Topping, is true on 4-dimensional Riemannian manifolds of nonnegative scalar curvature and discuss some related problems on other dimensional manifolds.

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Bibliographische Detailangaben
Veröffentlicht in:	Proceedings of the American Mathematical Society 2012-03, Vol.140 (3), p.1041-1044
Hauptverfasser:	GE, YUXIN, WANG, GUOFANG
Format:	Artikel
Sprache:	eng
Schlagworte:	Curvature Mathematical constants Mathematical inequalities Mathematical Physics Mathematical theorems Mathematics Riemann manifold Scalars Tensors Topological theorems Topping
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	In this short paper we prove that the almsost Schur theorem, introduced by De Lellis and Topping, is true on 4-dimensional Riemannian manifolds of nonnegative scalar curvature and discuss some related problems on other dimensional manifolds.
ISSN:	0002-9939 1088-6826
DOI:	10.1090/S0002-9939-2011-11065-7