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arXiv · 2506.22181

Quaternionic-K\"ahler manifolds with nonnegative sectional curvature

S. Brendle·U. Semmelmann
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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.

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S. Brendle, U. Semmelmann. 2025-06-27. Quaternionic-K\"ahler manifolds with nonnegative sectional curvature. https://arxiv.org/abs/2506.22181

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