7 citations · 10 across the 4 of their papers we have counts for
4 papers
Higher Multi-Courant Algebroids
P. Antunes, J. M. Nunes da Costa
The binary bracket of a Courant algebroid structure on can be extended to a -ary bracket on , yielding a multi-Courant algebroid. These $…
Split Courant algebroids as -structures
Paulo Antunes, Joana M. Nunes da Costa
We show that split Courant algebroids, i.e., those defined on a Whitney sum , are in a one-to-one correspondence with multiplicative curved -algebras. This…
Hypersymplectic structures with torsion on Lie algebroids
P. Antunes, J. M. Nunes da Costa
Hypersymplectic structures with torsion on Lie algebroids are investigated. We show that each hypersymplectic structure with torsion on a Lie algebroid determines three Nijenhuis m…
Hyperstructures on Lie algebroids
P. Antunes, J. M. Nunes da Costa
We define hypersymplectic structures on Lie algebroids recovering, as particular cases, all the classical results and examples of hypersymplectic structures on manifolds. We prove…