paper

Pluriclosed manifolds with parallel Bismut torsion

arXiv:2406.07039

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.

20 pages. Final version, to appear in Crelle's Journal

Pluriclosed manifolds with parallel Bismut torsion · wovepaper