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The graded differential geometry of mixed symmetry tensors

Andrew James Bruce, Eduardo Ibarguengoytia (2019)

Archivum Mathematicum

We show how the theory of 2 n -manifolds - which are a non-trivial generalisation of supermanifolds - may be useful in a geometrical approach to mixed symmetry tensors such as the dual graviton. The geometric aspects of such tensor fields on both flat and curved space-times are discussed.

The super complex Frobenius theorem

C. Denson Hill, Santiago R. Simanca (1991)

Annales Polonici Mathematici

We formulate and prove a super analogue of the complex Frobenius theorem of Nirenberg.

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