Konrad P. Schöbel

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  Available from: ArXiv

  Article: Algebraic Integrability Conditions for Killing Tensors on Constant Sectional Curvature Manifolds

  Konrad P. Schöbel
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  ABSTRACT: We use an isomorphism between the space of valence two Killing tensors on an n-dimensional constant sectional curvature manifold and the irreducible GL(n+1)-representation space of algebraic curvature tensors in order to translate the Nijenhuis integrability conditions for a Killing tensor into purely algebraic integrability conditions for the corresponding algebraic curvature tensor, resulting in two simple algebraic equations of degree two and three. As a first application of this we construct a new family of integrable Killing tensors. Comment: 34 pages, no figures
  04/2010;