PSCT manifolds locally split into products of well-understood factors for complete local classification, with analysis of almost Hermitian G-structures in Gray-Hervella classes.
Pluriclosed manifolds with parallel Bismut torsion
2 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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.
fields
math.DG 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
The paper establishes a canonical reduction theorem and classifies complete simply-connected Bismut-Ambrose-Singer manifolds in homogeneous settings plus their pluriclosed variants.
citing papers explorer
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Geometries with parallel, skew-symmetric and closed torsion
PSCT manifolds locally split into products of well-understood factors for complete local classification, with analysis of almost Hermitian G-structures in Gray-Hervella classes.
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On Bismut--Ambrose--Singer manifolds
The paper establishes a canonical reduction theorem and classifies complete simply-connected Bismut-Ambrose-Singer manifolds in homogeneous settings plus their pluriclosed variants.