Journal of Generalized Lie Theory and Applications

Department of Mathematics and Computer Science, Faculty of Sciences, University of Antananarivo, Antananarivo 101, PB 906, Madagascar

Publications

• Research   
  Semi-Simplicity of a Lie Algebra of Isometries
  Author(s): Anona Manelo*
  
  A spray S on the tangent bundle TM with a n dimensional differentiable manifold M defines an almost product structure Γ (Γ2 =I, I being the identity vector 1-form) and decomposes the TTM space into a direct sum of horizontal space (corresponding to the eigenvalue +1) and vertical space (for the eigenvalue -1). The Lie algebra of projectable vector fields whose Lie derivative vanishes the spray S is of dimension at most n2 +n. The elements of the algebra belonging to the horizontal nullity space of Nijenhuis tensor of Γ form a commutative ideal of .. Read More»
  DOI: 10.37421/1736-4337.2020.14.299

  Abstract HTML PDF