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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

An almost Schur theorem on 4-dimensional manifolds


Authors: Yuxin Ge and Guofang Wang
Journal: Proc. Amer. Math. Soc. 140 (2012), 1041-1044
MSC (2010): Primary 53C21; Secondary 58J05, 35J60
Published electronically: July 26, 2011
MathSciNet review: 2869088
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Abstract: In this short paper we prove that the almost 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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Additional Information

Yuxin Ge
Affiliation: Laboratoire d’Analyse et de Mathématiques Appliquées, CNRS UMR 8050, Départe- ment de Mathématiques, Université Paris Est-Créteil Val de Marne, 61 avenue du Général de Gaulle, 94010 Créteil Cedex, France
Email: ge@univ-paris12.fr

Guofang Wang
Affiliation: Albert-Ludwigs-Universität Freiburg, Mathematisches Institut, Eckerstrasse 1, D-79104 Freiburg, Germany
Email: guofang.wang@math.uni-freiburg.de

DOI: http://dx.doi.org/10.1090/S0002-9939-2011-11065-7
PII: S 0002-9939(2011)11065-7
Received by editor(s): April 4, 2010
Received by editor(s) in revised form: December 21, 2010
Published electronically: July 26, 2011
Additional Notes: The second-named author is partly supported by SFB/TR71 of DFG
Communicated by: Matthew J. Gursky
Article copyright: © Copyright 2011 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.