2020
BARCO, Viviana DEL; MOROIANU, Andrei
Symmetric Killing tensors on nilmanifolds Journal Article
Em: BULLETIN DE LA SMF, vol. 3, iss. 148, pp. 411-438, 2020.
Resumo | Links | BibTeX | Tags: nilmanifolds
@article{nokey,
title = {Symmetric Killing tensors on nilmanifolds},
author = {Viviana DEL BARCO and Andrei MOROIANU},
url = {https://smf.emath.fr/publications/tenseurs-de-killing-symetriques-sur-les-nilvarietes},
doi = {10.24033/bsmf.2811},
year = {2020},
date = {2020-01-01},
journal = {BULLETIN DE LA SMF},
volume = {3},
issue = {148},
pages = {411-438},
abstract = {We study left-invariant symmetric Killing 2-tensors on two-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.},
keywords = {nilmanifolds},
pubstate = {published},
tppubtype = {article}
}
We study left-invariant symmetric Killing 2-tensors on two-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.