K\"ahler-Einstein metrics of negative curvature
Differential Geometry
2026-05-05 v3 Complex Variables
Abstract
Given any integer , we construct a compact K\"ahler-Einstein manifold of dimension n of negative sectional curvature which is not covered by the ball.
Cite
@article{arxiv.2503.02838,
title = {K\"ahler-Einstein metrics of negative curvature},
author = {Henri Guenancia and Ursula Hamenstädt},
journal= {arXiv preprint arXiv:2503.02838},
year = {2026}
}
Comments
An error corrected in Section 3, which was rewritten. 45 pages