Morse-type integrals on non-K\"ahler manifolds
Complex Variables
2021-06-15 v1 Differential Geometry
Abstract
We pose a conjecture about Morse-type integrals in nef (1,1) classes on compact Hermitian manifolds, and we show that it holds for semipositive classes, or when the manifold admits certain special Hermitian metrics.
Cite
@article{arxiv.1906.09614,
title = {Morse-type integrals on non-K\"ahler manifolds},
author = {Slawomir Kolodziej and Valentino Tosatti},
journal= {arXiv preprint arXiv:1906.09614},
year = {2021}
}
Comments
11 pages; to appear in Pure Applied Math Quarterly's special issue for D.H. Phong's 65th birthday