Asian Journal of Mathematics
Volume 10 (2006)
Brackets, forms and invariant functionals
Pages: 541 – 560
In the context of generalized geometry we first show how the Courant bracket helps to define connections with skew torsion and then investigate a five-dimensional invariant functional and its associated geometry, which involves three Courant-commuting sections of $T \bigoplus T\sp *$ . A Hamiltonian flow arising from this corresponds to a version of the Nahm equations, and we investigate the sixdimensional geometrical structure this describes.
Generalized geometry; Courant bracket; skew torsion; gerbe
2010 Mathematics Subject Classification