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arXiv · 2608.13887

The Fino-Vezzoni conjecture on balanced Bismut torsion-parallel manifolds

Shuwen Chen·Fangyang Zheng
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Abstract

We study the Fino-Vezzoni conjecture on compact complex manifolds carrying a balanced Bismut torsion-parallel Hermitian metric. We prove that if such a manifold also admits a pluriclosed Hermitian metric, then it admits a K\"ahler metric.

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Shuwen Chen, Fangyang Zheng. 2026-08-14. The Fino-Vezzoni conjecture on balanced Bismut torsion-parallel manifolds. https://arxiv.org/abs/2608.13887

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