On balanced Hermitian threefolds with parallel Bismut torsion
Abstract
We continue our study on Hermitian manifolds that are Bismut torsion parallel, or BTP for brevity, which means that the Bismut connection has parallel torsion tensor. For n≥ 3, BTP metrics can be balanced (and non-K\"ahler). In this paper, we give a detailed description to characterize all compact, balanced BTP threefolds.
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