An almost Schur theorem on 4-dimensional manifolds
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- by Yuxin Ge and Guofang Wang PDF
- Proc. Amer. Math. Soc. 140 (2012), 1041-1044 Request permission
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.References
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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
- 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
- © Copyright 2011
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 140 (2012), 1041-1044
- MSC (2010): Primary 53C21; Secondary 58J05, 35J60
- DOI: https://doi.org/10.1090/S0002-9939-2011-11065-7
- MathSciNet review: 2869088