Higher degree Killing forms on 2-step nilmanifolds

Higher degree Killing forms on 2-step nilmanifolds

We study left-invariant Killing forms of arbitrary degree on simply connected 2-step nilpotent Lie groups endowed with left-invariant Riemannian metrics, and classify them when the center of the group is at most two-dimensional.

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Veröffentlicht in:Journal of algebra 2020-12, Vol.563, p.251-273
Hauptverfasser: del Barco, Viviana, Moroianu, Andrei
Format: Artikel
Sprache:eng
Schlagworte:
2-step nilpotent Lie groups
Killing forms
Mathematics
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Beschreibung
Zusammenfassung:We study left-invariant Killing forms of arbitrary degree on simply connected 2-step nilpotent Lie groups endowed with left-invariant Riemannian metrics, and classify them when the center of the group is at most two-dimensional.
ISSN:0021-8693
1090-266X
DOI:10.1016/j.jalgebra.2020.07.020