Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1896233 | Journal of Geometry and Physics | 2012 | 25 Pages |
Abstract
We use an isomorphism between the space of valence two Killing tensors on an nn-dimensional constant sectional curvature manifold and the irreducible GL(n+1)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.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Konrad P. Schöbel,