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This is a Quantitative Study study.

October 20, 2025Open Access

On balanced Hermitian threefolds with parallel Bismut torsion

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All compact, balanced BTP threefolds are characterized by their unique torsion properties.
BTP metrics can exist in balanced configurations, indicating a broader scope in Hermitian geometry.
The relationship between Bismut torsion and non-Kähler metrics provides insight into higher-dimensional geometry.
Understanding these metrics may enhance the study of complex manifolds and their applications.

Implication

This analysis examines balanced BTP metrics in threefolds, indicating their unique structures and properties.

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-Kähler). In this paper, we give a detailed description to characterize all compact, balanced BTP threefolds.

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Cite This Study

Zhao et al. (2025) studied this question.

synapsesocial.com/papers/68f6379bb481a140a36cf6c5 https://doi.org/10.48550/arxiv.2506.15141

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Implication

This analysis examines balanced BTP metrics in threefolds, indicating their unique structures and properties.

On balanced Hermitian threefolds with parallel Bismut torsion

Key Points

Implication

Abstract

Discussion

Cite This Study

On balanced Hermitian threefolds with parallel Bismut torsion

Key Points

Implication

Abstract

Discussion

Cite This Study

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