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arXiv · 2406.07039

Pluriclosed manifolds with parallel Bismut torsion

Giuseppe Barbaro·Francesco Pediconi·Nicoletta Tardini
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Abstract

We present a complete classification of simply-connected pluriclosed manifolds with parallel Bismut torsion, extending previously known results in the literature. Consequently, we also establish a splitting theorem for compact manifolds that are both pluriclosed with parallel Bismut torsion and Calabi-Yau with torsion.

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Giuseppe Barbaro, Francesco Pediconi, Nicoletta Tardini. 2024-06-11. Pluriclosed manifolds with parallel Bismut torsion. https://arxiv.org/abs/2406.07039

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