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Subjects
58-XX Global analysis, analysis on manifolds
58Axx General theory of differentiable manifolds
58A50 Supermanifolds and graded manifolds

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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 $ℤ_{2}^{n}$ -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 meaning of time and covariant superderivatives in supermechanics.

Salgado, Gil, Vallejo-Rodríguez, José A. (2009)

Advances in Mathematical Physics

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.

The Supetrace on the Grassmann envelope M(m,n;Λ)

N. B. Backhouse, A. G. Fellouris (1996)

Δελτίο της Ελληνικής Μαθηματικής Εταιρίας

The torsion of spinor connections and related structures.

Klinker, Frank (2006)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Three natural generalizations of Fedosov quantization.

Bering, Klaus (2009)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Currently displaying 1 – 6 of 6

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