A note on the almost-Schur lemma on smooth metric measure spaces

Abstract In this paper, we prove almost-Schur inequalities on closed smooth metric measure spaces, which implies the results of Cheng and De Lellis–Topping whenever the weighted function f is constant.

Bibliographic Details
Main Author: Jui-Tang Chen
Format: Article
Language:English
Published: SpringerOpen 2018-07-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-018-1791-y
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author Jui-Tang Chen
author_facet Jui-Tang Chen
author_sort Jui-Tang Chen
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description Abstract In this paper, we prove almost-Schur inequalities on closed smooth metric measure spaces, which implies the results of Cheng and De Lellis–Topping whenever the weighted function f is constant.
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spelling doaj.art-b0fb257a7e8043c68ab16b784d8572f92022-12-21T17:59:24ZengSpringerOpenJournal of Inequalities and Applications1029-242X2018-07-012018111310.1186/s13660-018-1791-yA note on the almost-Schur lemma on smooth metric measure spacesJui-Tang Chen0Department of Mathematics, National Taiwan Normal UniversityAbstract In this paper, we prove almost-Schur inequalities on closed smooth metric measure spaces, which implies the results of Cheng and De Lellis–Topping whenever the weighted function f is constant.http://link.springer.com/article/10.1186/s13660-018-1791-yAlmost-Schur inequalityEinstein manifoldSmooth metric measure space
spellingShingle Jui-Tang Chen
A note on the almost-Schur lemma on smooth metric measure spaces
Journal of Inequalities and Applications
Almost-Schur inequality
Einstein manifold
Smooth metric measure space
title A note on the almost-Schur lemma on smooth metric measure spaces
title_full A note on the almost-Schur lemma on smooth metric measure spaces
title_fullStr A note on the almost-Schur lemma on smooth metric measure spaces
title_full_unstemmed A note on the almost-Schur lemma on smooth metric measure spaces
title_short A note on the almost-Schur lemma on smooth metric measure spaces
title_sort note on the almost schur lemma on smooth metric measure spaces
topic Almost-Schur inequality
Einstein manifold
Smooth metric measure space
url http://link.springer.com/article/10.1186/s13660-018-1791-y
work_keys_str_mv AT juitangchen anoteonthealmostschurlemmaonsmoothmetricmeasurespaces
AT juitangchen noteonthealmostschurlemmaonsmoothmetricmeasurespaces