Killing–Yano 2-forms on 2-step nilpotent Lie groups

Andrada, Adrián Marcelo; Dotti, Isabel Graciela

info:eu-repo/semantics/article

Fecha

2021-06-01

Registro en:

Andrada, Adrián Marcelo; Dotti, Isabel Graciela; Killing–Yano 2-forms on 2-step nilpotent Lie groups; Springer; Geometriae Dedicata; 212; 1; 1-6-2021; 415-424

0046-5755

http://hdl.handle.net/11336/143437

1572-9168

CONICET Digital

CONICET

https://repositorioslatinoamericanos.uchile.cl/handle/2250/4309591

Autor

Andrada, Adrián Marcelo

Dotti, Isabel Graciela

Institución

Consejo Nacional de Investigaciones Científicas y Tecnológicas (Argentina)

Resumen

In this article we show that the only 2-step nilpotent Lie groups which carry a non-degenerate left invariant Killing–Yano 2-form are the complex Lie groups. In the case of 2-step nilpotent complex Lie groups arising from connected graphs, we prove that the space of left invariant Killing–Yano 2-forms is one-dimensional.

Materias

KILLING–YANO FORMS

NILPOTENT LIE GROUPS

PARALLEL TENSORS

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