Riemannian Manifolds With Structure Group Psu(3)
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES(2012)
摘要
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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关键词
Riemannian Manifolds
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