Mathematics – Differential Geometry
Scientific paper
2009-01-23
Mathematics
Differential Geometry
24 pages
Scientific paper
Motivated by the study of Weyl structures on conformal manifolds admitting parallel weightless forms, we define the notion of conformal product of conformal structures and study its basic properties. We obtain a classification of Weyl manifolds carrying parallel forms, and we use it to investigate the holonomy of the adapted Weyl connection on conformal products. As an application we describe a new class of Einstein-Weyl manifolds of dimension 4.
Belgun Florin
Moroianu Andrei
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