Brackets, forms and invariant functionals

Details Brackets, forms and invariant functionals Brackets, forms and invariant functionals

2005-08-30

arxiv.org/abs/math/0508618v1

Mathematics

Differential Geometry

26 pages; dedicated to the memory of S.S.Chern

Scientific paper

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.

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