Work

Curvature characterization of Hermitian manifolds with Bismut parallel torsion

Year: 2026

Type: article

Abstract: In this article, we study Hermitian manifolds whose Bismut connection has parallel torsion, which will be called Bismut torsion parallel manifolds, or BTP manifolds for brevity. We obtain a necessary and sufficient condition characterizing BTP manifolds in terms of Bismut curvature tensor alone. We also present examples and discuss some general properties for BTP manifolds, as well as give a classification result for non-balanced BTP threefolds.

Source: Transactions of the American Mathematical Society

DOI: 10.1090/tran/9843

Authors: Quanting Zhao, Fangyang Zheng

Language: English

Topic: Geometry and complex manifolds

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Chongqing Normal University, National Natural Science Foundation of China, Fundamental Research Funds for the Central Universities

OpenAlex ID: W4400714333

FWCI: 24.49

Cites: 58

Cited by: 16

Related to: 10