Cohomology of Lie algebroids in the holomorphic and algebraic settings: theory and...
Algebraic, topological and analytical techniques in differential geometry and geom...
| Full text | |
| Author(s): |
Bursztyn, Henrique
;
Drummond, Thiago
;
Netto, Clarice
Total Authors: 3
|
| Document type: | Journal article |
| Source: | JOURNAL OF GEOMETRY AND PHYSICS; v. 192, p. 19-pg., 2023-10-01. |
| Abstract | |
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) | |
| FAPESP's process: | 22/06205-2 - Symmetries of multiplicative Courant algebroids |
| Grantee: | Clarice de Souza Ferreira Netto |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |