Rendiconti del Circolo Matematico di Palermo

, Volume 53, Issue 3, pp 390–400 | Cite as

On Weyl structures

  • Iulia Elena HiricĂ
  • Liviu Nicolescu


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.

M.S.C. 2000

53B05 53B20 53B21 

Key words

Weyl structures conformal Weyl connections semisymmetric connections deformation algebra Weyl algebra Weyl-Lyra algebra 


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Copyright information

© Springer 2004

Authors and Affiliations

  • Iulia Elena HiricĂ
    • 1
  • Liviu Nicolescu
    • 1
  1. 1.Faculty of MathematicsUniversity of BucharestBucharest 1Romania

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