Sobolev Inequalities on Kähler manifolds

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Sayantan Chakraborty
DOI: 10.48550/arxiv.2602.18337
Cited by: 0

Abstract

We prove new Sobolev type inequalities on compact Kähler manifolds with positive Ricci curvature. A proof of an already existing Sobolev inequality in the classical Bidaut-Véron and Véron approach is also discussed.

Fields of Study & Subjects

Geometry and complex manifolds Geometric Analysis and Curvature Flows Nonlinear Partial Differential Equations

Publication details

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