Courant-Nijenhuis algebroids

Autor(es)

Bursztyn, Henrique ; Drummond, Thiago ; Netto, Clarice

• Tipo de documento: Artigo Científico
• Fonte: JOURNAL OF GEOMETRY AND PHYSICS; v. 192, p. 19-pg., 2023-10-01.

Resumo

We introduce Courant 1-derivations, which describe a compatibility between Courant algebroids and linear (1,1)-tensor fields and lead to the notion of Courant-Nijenhuis algebroids. We provide examples of Courant 1-derivations on exact Courant algebroids and show that holomorphic Courant algebroids can be viewed as special types of CourantNijenhuis algebroids. By considering Dirac structures, one recovers the Dirac-Nijenhuis structures of [5] (in the special case of the standard Courant algebroid) and obtains an equivalent description of Lie-Nijenhuis bialgebroids [9] via Manin triples.& COPY; 2023 Elsevier B.V. All rights reserved. (AU)

• Processo FAPESP: 22/06205-2 - Simetrias de algebroides de Courant multiplicativos
• Beneficiário: Clarice de Souza Ferreira Netto
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado