Irreducible holonomy algebras of Riemannian supermanifolds
| Authors | |
|---|---|
| Year of publication | 2012 |
| Type | Article in Periodical |
| Magazine / Source | Annals of Global Analysis and Geometry |
| MU Faculty or unit | |
| Citation | |
| Doi | http://dx.doi.org/10.1007/s10455-011-9299-4 |
| Field | General mathematics |
| Keywords | Riemannian supermanifold; Levi-Civita superconnection; Holonomy algebra; Berger superalgebra |
| Description | Possible irreducible holonomy algebras g \subset osp(p,q|2m) of Riemannian supermanifolds under the assumption that g is a direct sum of simple Lie superalgebras of classical type and possibly of a 1-dimensional center are classified. This generalizes the classical result of Marcel Berger about the classification of irreducible holonomy algebras of pseudo-Riemannian manifolds. |
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