AN ALMOST SCHUR THEOREM ON 4-DIMENSIONAL MANIFOLDS

Yuxin Ge (1) , Guofang Wang

1 LAMA - Laboratoire d'Analyse et de Mathématiques Appliquées

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.

Domains: Mathematical Physics [math-ph]

Yuxin Ge, Guofang Wang. AN ALMOST SCHUR THEOREM ON 4-DIMENSIONAL MANIFOLDS. Proceedings of the American Mathematical Society, 2012, 140 (3), pp.1041-1044. ⟨10.1090/S0002-9939-2011-11065-7⟩. ⟨hal-00692638⟩