Bismut connection on Vaisman manifolds
Differential Geometry
2022-03-23 v1
Abstract
The holonomy of the Bismut connection on Vaisman manifolds is studied. We prove that if is endowed with a Vaisman structure, then the holonomy group of the Bismut connection is contained in U. We compute explicitly this group for particular types of manifolds, namely, solvmanifolds and some classical Hopf manifolds.
Keywords
Cite
@article{arxiv.2203.11291,
title = {Bismut connection on Vaisman manifolds},
author = {A. Andrada and R. Villacampa},
journal= {arXiv preprint arXiv:2203.11291},
year = {2022}
}
Comments
38 pages