Irreducible Holonomy Algebras of Odd Riemannian Supermanifolds
| Authors | |
|---|---|
| Year of publication | 2011 |
| Type | Article in Periodical |
| Magazine / Source | Lobachevskii Journal of Mathematics |
| MU Faculty or unit | |
| 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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