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arXiv · 1811.09187

Symmetric Killing tensors on nilmanifolds

Viviana del Barco·Andrei Moroianu
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Abstract

We study left-invariant symmetric Killing 2-tensors on 2-step nilpotent Lie groups endowed with a left-invariant Riemannian metric, and construct genuine examples, which are not linear combinations of parallel tensors and symmetric products of Killing vector fields.

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Viviana del Barco, Andrei Moroianu. 2018-11-22. Symmetric Killing tensors on nilmanifolds. https://doi.org/10.24033/bsmf.2811

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