Pluriclosed manifolds with parallel Bismut torsion
Differential Geometry
2026-04-21 v2 Complex Variables
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.
Cite
@article{arxiv.2406.07039,
title = {Pluriclosed manifolds with parallel Bismut torsion},
author = {Giuseppe Barbaro and Francesco Pediconi and Nicoletta Tardini},
journal= {arXiv preprint arXiv:2406.07039},
year = {2026}
}
Comments
20 pages. Final version, to appear in Crelle's Journal