Riemannian manifolds with structure group PSU(3)
Differential Geometry
2012-11-13 v3 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We study 8-dimensional Riemannian manifolds that admit a PSU(3)-structure. We classify these structures by their intrinsic torsion and characterize the corresponding classes via differential equations. Moreover, we consider a connection defined by a 3- and a 4-form that preserves the underlying structure. Finally, we discuss the geometry of these manifolds relatively to the holonomy algebra of this connection.
Keywords
Cite
@article{arxiv.1007.1205,
title = {Riemannian manifolds with structure group PSU(3)},
author = {Christof Puhle},
journal= {arXiv preprint arXiv:1007.1205},
year = {2012}
}
Comments
24 pages