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arXiv · 2606.30130

Gromov's dihedral rigidity conjecture in dimension three

Jinmin Wang·Zhizhang Xie·Guoliang Yu
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Abstract

In this article, we present a self-contained proof of Gromov's dihedral rigidity conjecture on scalar curvature in the three-dimensional case. The proof avoids many of the technical complications that arise in higher dimensions, while still illustrating the essential ideas of the general approach developed in arXiv:2112.01510 (version 6) and arXiv:2203.09511. It is significantly shorter than the proof of the general case and is intended to be more accessible.

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Jinmin Wang, Zhizhang Xie, Guoliang Yu. 2026-06-29. Gromov's dihedral rigidity conjecture in dimension three. https://arxiv.org/abs/2606.30130

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