Irreducible Holonomy Algebras of Odd Riemannian Supermanifolds

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Authors

GALAEV Anton

Year of publication 2011
Type Article in Periodical
Magazine / Source Lobachevskii Journal of Mathematics
MU Faculty or unit

Faculty of Science

Citation
Field General mathematics
Keywords Riemannian supermanifold; Levi-Civita superconnection; holonomy algebra; Berger superalgebra
Description Possible irreducible holonomy algebras g \subset sp(2m,R) of odd Riemannian supermanifolds and irreducible subalgebras g \subset gl(n,R) 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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