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

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

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.

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Veröffentlicht in:The Bulletin of the London Mathematical Society 2024-07, Vol.56 (7), p.2395-2407
Hauptverfasser: Dong, Yuxin, Lin, Hezi, Lu, Lingen
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0024-6093
1469-2120
DOI:10.1112/blms.13061