Curvature characterization of Hermitian manifolds with Bismut parallel torsion
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.
Fields of Study & Subjects
Geometry and complex manifolds
Geometric Analysis and Curvature Flows
Geometric and Algebraic Topology
Publication details
- Journal / source
- Transactions of the American Mathematical Society
- Publisher
- American Mathematical Society (AMS)
- Publication date
- 27 May 2026
- Language
- EN