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arXiv · 1101.0495

Irreducible holonomy algebras of odd Riemannian supermanifolds

Anton S. Galaev
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Abstract

Possible irreducible holonomy algebras $\g\subset\sp(2m,\Real)$ of odd Riemannian supermanifolds and irreducible subalgebras $\g\subset\gl(n,\Real)$ with non-trivial first skew-symmetric prolongations are classified. An approach to the classification of some classes of the holonomy algebras of Riemannian supermanifolds is discussed.

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Anton S. Galaev. 2011-01-03. Irreducible holonomy algebras of odd Riemannian supermanifolds. https://doi.org/10.1134/s1995080211020041

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