Functionals for the Study of LCK Metrics on Compact Complex Manifolds
Differential Geometry
2023-08-04 v2 Algebraic Geometry
Complex Variables
Abstract
We propose an approach to the existence problem for locally conformally K\"ahler metrics on compact complex manifolds by introducing and studying a functional that is different according to whether the complex dimension of the manifold is or higher.
Cite
@article{arxiv.2301.03277,
title = {Functionals for the Study of LCK Metrics on Compact Complex Manifolds},
author = {Dan Popovici and Erfan Soheil},
journal= {arXiv preprint arXiv:2301.03277},
year = {2023}
}
Comments
25 pages; to appear in Bulletin des sciences math\'ematiques