Sobolev Inequalities on K\"ahler manifolds
Differential Geometry
2026-02-23 v1
Abstract
We prove new Sobolev type inequalities on compact K\"ahler manifolds with positive Ricci curvature. A proof of an already existing Sobolev inequality in the classical Bidaut-V\'eron and V\'eron approach is also discussed.
Keywords
Cite
@article{arxiv.2602.18337,
title = {Sobolev Inequalities on K\"ahler manifolds},
author = {Sayantan Chakraborty},
journal= {arXiv preprint arXiv:2602.18337},
year = {2026}
}