Brackets, forms and invariant functionals
Differential Geometry
2007-05-23 v1 High Energy Physics - Theory
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.
Keywords
Cite
@article{arxiv.math/0508618,
title = {Brackets, forms and invariant functionals},
author = {Nigel Hitchin},
journal= {arXiv preprint arXiv:math/0508618},
year = {2007}
}
Comments
26 pages; dedicated to the memory of S.S.Chern