Asian Journal of Mathematics

Volume 10 (2006)

Number 3

Brackets, forms and invariant functionals

Pages: 541 – 560



Nigel Hitchin


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

53C25, 53C80

Published 1 January 2006