The Log-Sobolev inequality for a submanifold in manifolds with asymptotic non-negative intermediate Ricci curvature

Autor:	Lee, Jihye, Ricci, Fabio
Rok vydání:	2023
Předmět:	Mathematics - Differential Geometry
Druh dokumentu:	Working Paper
Popis:	We prove a sharp Log-Sobolev inequality for submanifolds of a complete non-compact Riemannian manifold with asymptotic non-negative intermediate Ricci curvature and Euclidean volume growth. Our work extends a result of Dong-Lin-Lu which already generalizes Yi-Zheng: arXiv:2104.05045 and Brendle: arXiv:1908.10360v3. Comment: 16 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2304.02672 Zobrazit plný text záznamu View this record from Arxiv