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arXiv · 1007.1205

Riemannian manifolds with structure group PSU(3)

Christof Puhle
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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.

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Christof Puhle. 2011-05-05. Riemannian manifolds with structure group PSU(3). https://doi.org/10.1112/jlms%2Fjdr044

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