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Invariant conformal Killing–Yano 2-forms on five-dimensional Lie groups

Herrera, A. et al · Springer · 2022

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Author / responsible party
Herrera, A. et al
Publisher
Springer
Year
2022
ISSN
1050-6926
ISSN
1050-6926
Language
English

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We study left invariant conformal Killing–Yano (CKY) 2-forms on Lie groups endowed with a left invariant metric. We classify all 5-dimensional metric Lie algebras carrying CKY tensors that are obtained as a one-dimensional central extension of 4-dimensional metric Lie algebras endowed with an invertible parallel skew-symmetric tensor. On the other hand, we also classify 5-dimensional metric Lie algebras with center of dimension greater than one admitting strict CKY tensors. In addition, we determine all possible CKY tensors on these metric Lie algebras. In particular, we exhibit the first examples of CKY 2-forms on metric Lie algebras which do not admit any Sasakian structure. Fil: Herrera, A.. Universidad Nacional de Córdoba; Argentina Fil: Origlia, Marcos Miguel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina

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APA 7

Herrera, A. E. A. (2022). Invariant conformal Killing–Yano 2-forms on five-dimensional Lie groups. http://hdl.handle.net/11336/203269

MLA

Herrera, A. et al. "Invariant conformal Killing–Yano 2-forms on five-dimensional Lie groups." 2022. http://hdl.handle.net/11336/203269.

Chicago

Herrera, A. et al. 2022. "Invariant conformal Killing–Yano 2-forms on five-dimensional Lie groups.". http://hdl.handle.net/11336/203269.

Harvard

Herrera, A. E. A. 2022, Invariant conformal Killing–Yano 2-forms on five-dimensional Lie groups, Springer, available at: http://hdl.handle.net/11336/203269 [Accessed 8 Aug. 2026].

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Title
Invariant conformal Killing–Yano 2-forms on five-dimensional Lie groups
Author / contributors
Herrera, A. et al
Publisher
Springer
Publication year
2022
ISSN
1050-6926
ISSN
1050-6926
Language
English

Subjects

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CONFORMAL KILLING–YANO FORMS; LEFT INVARIANT METRICS; LIE GROUPS; https://purl.org/becyt/ford/1.1; https://purl.org/becyt/ford/1
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