Informace o publikaci
Irreducible holonomy algebras of Riemannian supermanifolds
| Autoři | |
|---|---|
| Rok publikování | 2012 |
| Druh | Článek v odborném periodiku |
| Časopis / Zdroj | Annals of Global Analysis and Geometry |
| Fakulta / Pracoviště MU | |
| Citace | |
| Doi | http://dx.doi.org/10.1007/s10455-011-9299-4 |
| Obor | Obecná matematika |
| Klíčová slova | Riemannian supermanifold; Levi-Civita superconnection; Holonomy algebra; Berger superalgebra |
| Popis | 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. |
| Související projekty: |