Hitchin, Nigel Brackets, forms and invariant functionals. (English) Zbl 1113.53030 Asian J. Math. 10, No. 3, 541-560 (2006). The author shows how the Courant bracket can be used to define the Levi-Civita connection and connections with skew torsion. He investigates a five dimensional invariant functional, which involves three Courant-commuting sections of \(T\oplus T^*\). A Hamiltonian flow arising from this corresponds to a version of the Nahm equations and the six-dimensional geometrical structure describing this is investigated. The paper under review is based on an earlier paper of the author in [Q. J. Math. 54, 281–308 (2003; Zbl 1076.32019)]. Reviewer: Jan Kurek (Lublin) Cited in 35 Documents MSC: 53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.) 53C80 Applications of global differential geometry to the sciences Keywords:Courant brackets; skew torsion Citations:Zbl 1076.32019 PDFBibTeX XMLCite \textit{N. Hitchin}, Asian J. Math. 10, No. 3, 541--560 (2006; Zbl 1113.53030) Full Text: DOI arXiv