Abstract
In this chapter we translate the Nijenhuis integrability conditions for a Killing tensor on a constant curvature manifold into algebraic conditions on the corresponding algebraic curvature tensors. To this end, we substitute (0.7) into (0.2) and both into (0.3) and then use the representation theory for general linear groups to get rid of the dependence on the base point in the manifold.
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© 2015 Springer Fachmedien Wiesbaden GmbH
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Schöbel, K. (2015). The foundation: the algebraic integrability conditions. In: An Algebraic Geometric Approach to Separation of Variables. Springer Spektrum, Wiesbaden. https://doi.org/10.1007/978-3-658-11408-4_2
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DOI: https://doi.org/10.1007/978-3-658-11408-4_2
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Publisher Name: Springer Spektrum, Wiesbaden
Print ISBN: 978-3-658-11407-7
Online ISBN: 978-3-658-11408-4
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