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arXiv:1101.0495 [math.DG]AbstractReferencesReviewsResources

Irreducible holonomy algebras of odd Riemannian supermanifolds

Anton S. Galaev

Published 2011-01-03Version 1

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.

Comments: 16 pages, an extended version of the appendix from arXiv:0906.5250, to appera in: Lobachevskii J. Math. 32 (2011) no. 2
Journal: Lobachevskii Journal of Mathematics 32 (2011), no. 2, pp. 163--173
Categories: math.DG
Subjects: 58A50, 53C29
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