The generalisation: a solution for spheres of arbitrary dimension

Konrad Schöbel ()
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Konrad Schöbel: Friedrich-Schiller-Universität Jena

Chapter 3 in An Algebraic Geometric Approach to Separation of Variables, 2015, pp 99-120 from Springer

Abstract: Abstract In Definition 0.1, a Killing tensor is a symmetric bilinear form K αβ on the manifold M. In what follows we will interpret it in two other ways, each of which gives rise to a Lie bracket and hence to a Lie algebra generated by Killing tensors. On one hand, we can use the metric to identify the symmetric bilinear form KK αβ with a symmetric endomorphism $${{K}^{\alpha }}_{\beta}$$ .

Date: 2015
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DOI: 10.1007/978-3-658-11408-4_4

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