Symmetric Killing tensors on nilmanifolds

Published 22 Nov 2018 in math.DG | (1811.09187v2)

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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