Irreducible holonomy algebras of odd Riemannian supermanifolds

Details Irreducible holonomy algebras of odd Riemannian supermanifolds Irreducible holonomy algebras of odd Riemannian supermanifolds

2011-01-03

arxiv.org/abs/1101.0495v1

Mathematics

Differential Geometry

16 pages, an extended version of the appendix from arXiv:0906.5250, to appera in: Lobachevskii J. Math. 32 (2011) no. 2

Scientific paper

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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