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Brackets, forms and invariant functionals. (English) Zbl 1113.53030

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)

MSC:

53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.)
53C80 Applications of global differential geometry to the sciences

Citations:

Zbl 1076.32019
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