Flat Generalized Connections on Courant Algebroids
Publication date
2025-09
Authors
Cavalcanti, Gil
Pedregal, Jaime
Rubio, Roberto
Editors
Advisors
Supervisors
Document Type
Article
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Abstract
We consider a family of metric generalized connections on transitive Courant algebroids, which includes the canonical Levi-Civita connection, and study the flatness condition. We find that the building blocks for such flat transitive Courant algebroids are compact simple Lie groups. Further, we give a description of left-invariant flat Levi-Civita generalized connections on such Lie groups, which, in particular, shows the existence of non-flat ones.
Keywords
General Mathematics, General Physics and Astronomy
Citation
Cavalcanti, G R, Pedregal, J & Rubio, R 2025, 'Flat Generalized Connections on Courant Algebroids', Selecta Mathematica, New Series, vol. 31, no. 4, 84. https://doi.org/10.1007/s00029-025-01083-0