English

A mild generalization of almost-Schur lemma

Differential Geometry 2011-05-13 v2

Abstract

In this short note we establish an integral geometric inequality in a smooth metric measure space of the nonnegative Bakry-\'Emery Ricci curvature. This result can be regarded as a mild generalization of the almost Schur theorem due to De Lellis and Topping (Calc. Var., DOI: 10.1007/s00526-011-0413-z).

Keywords

Cite

@article{arxiv.1105.2224,
  title  = {A mild generalization of almost-Schur lemma},
  author = {Jia-Yong Wu},
  journal= {arXiv preprint arXiv:1105.2224},
  year   = {2011}
}

Comments

This paper has been withdrawn by the author due to a crucial error in (2.5)

R2 v1 2026-06-21T18:05:47.057Z