## Asian Journal of Mathematics

### Brackets, forms and invariant functionals

Nigel Hitchin

#### Abstract

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.

#### Article information

Source
Asian J. Math., Volume 10, Number 3 (2006), 541-560.

Dates
First available in Project Euclid: 5 April 2007