Abstract
We characterize the relation between the geometrical properties of Weyl manifolds and the algebraic properties of the Weyl algebras (§1) and the deformation algebras associated to two conformal Weyl connections (§2). The last section is devoted to the study of the Weyl-Lyra algebras associated to a conformal Weyl connection and a conformal semisymmetric connection.
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HiricĂ, I.E., Nicolescu, L. On Weyl structures. Rend. Circ. Mat. Palermo 53, 390–400 (2004). https://doi.org/10.1007/BF02875731
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DOI: https://doi.org/10.1007/BF02875731