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Sobolev inequality on manifolds with asymptotically nonnegative Bakry–Émery Ricci curvature.

Authors :
Dong, Yuxin
Lin, Hezi
Lu, Lingen
Source :
Bulletin of the London Mathematical Society; Jul2024, Vol. 56 Issue 7, p2395-2407, 13p
Publication Year :
2024

Abstract

In this paper, inspired by Brendle (Comm. Pure Appl. Math. 76 (2023), 2192) and Johne (arXiv:2103.08496, 2021), we prove a Sobolev inequality on manifolds with density and asymptotically nonnegative Bakry–Émery Ricci curvature. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
CURVATURE
MATHEMATICS
DENSITY

Details

Language :
English
ISSN :
00246093
Volume :
56
Issue :
7
Database :
Complementary Index
Journal :
Bulletin of the London Mathematical Society
Publication Type :
Academic Journal
Accession number :
178296461
Full Text :
https://doi.org/10.1112/blms.13061