Sharp Sobolev and Moser-Trudinger inequalities on noncompact Riemannian manifolds with Ricci curvature bounded below

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Carlo Morpurgo, Liuyu Qin
DOI: 10.48550/arxiv.2602.09677
Cited by: 0

Abstract

We establish Sobolev and Moser-Trudinger inequalities with best constants on noncompact Riemannan manifolds with Ricci curvature bounded below, and positive injectivity radius.

Fields of Study & Subjects

Geometric Analysis and Curvature Flows Nonlinear Partial Differential Equations Mathematical Inequalities and Applications

Publication details

Journal / source
arXiv (Cornell University)
Publication date
10 February 2026
Language
EN
Document type
Preprint