The Library
Almost-Schur lemma
Tools
Lellis, Camillo De and Topping, Peter (2012) Almost-Schur lemma. Calculus of Variations and Partial Differential Equations, Vol.43 (No.3-4). pp. 347-354. doi:10.1007/s00526-011-0413-z ISSN 0944-2669.
Research output not available from this repository.
Request-a-Copy directly from author or use local Library Get it For Me service.
Official URL: http://dx.doi.org/10.1007/s00526-011-0413-z
Abstract
Schur’s lemma states that every Einstein manifold of dimension n ≥ 3 has constant scalar curvature. In this short note we ask to what extent the scalar curvature is constant if the traceless Ricci tensor is assumed to be small rather than identically zero. In particular, we provide an optimal L 2 estimate under suitable assumptions and show that these assumptions cannot be removed.
Item Type: | Journal Article | ||||
---|---|---|---|---|---|
Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Calculus of Variations and Partial Differential Equations | ||||
Publisher: | Springer | ||||
ISSN: | 0944-2669 | ||||
Official Date: | March 2012 | ||||
Dates: |
|
||||
Volume: | Vol.43 | ||||
Number: | No.3-4 | ||||
Page Range: | pp. 347-354 | ||||
DOI: | 10.1007/s00526-011-0413-z | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
Request changes or add full text files to a record
Repository staff actions (login required)
View Item |