Quaternionic-K\"ahler manifolds with nonnegative sectional curvature
Differential Geometry
2025-06-30 v1
Abstract
We show that a compact quaternionic-K\"ahler manifold with positive scalar curvature and nonnegative sectional curvature is isometric to a symmetric space. This extends a classical theorem of Berger.
Keywords
Cite
@article{arxiv.2506.22181,
title = {Quaternionic-K\"ahler manifolds with nonnegative sectional curvature},
author = {S. Brendle and U. Semmelmann},
journal= {arXiv preprint arXiv:2506.22181},
year = {2025}
}