Brackets, forms and invariant functionals
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. A Hamiltonian flow arising from this corresponds to a version of the Nahm equations using the Courant bracket, and we investigate the six-dimensional geometrical structure this describes.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- August 2005
- DOI:
- 10.48550/arXiv.math/0508618
- arXiv:
- arXiv:math/0508618
- Bibcode:
- 2005math......8618H
- Keywords:
-
- Differential Geometry;
- 58A10;
- 53A40
- E-Print:
- 26 pages