Ümit Ertem
Hidden symmetries and their algebra structures on Courant algebroids
Hidden symmetries are higher degree antisymmetric generalizations of Killing vector fields that correspond to isometries of the ambient manifold. We generalize the definitions of Killing vector fields in Courant algebroids to the hidden symmetries by using the definitions of Lie derivatives and connections on Courant algebroids. We show that the structure of hidden symmetries are similar to the hidden symmetries in the presence of torsion. We also investigate the Lie algebra structures of hidden symmetries with torsion to generalize the results to the framework of Courant algebroids.
