Odd Riemannian symmetric spaces associated to four-forms
- Autores: Vicente Cortés
- Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 98, Nº 2, 2006, págs. 201-216
- Idioma: inglés
- DOI: 10.7146/math.scand.a-14991
- Enlaces
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Resumen
To any four-form $\Omega$ satisfying certain system of quadratic equations a Lie superalgebra $\mathfrak{g} = \mathfrak{g}_0 + \mathfrak{g}_1$ endowed with an invariant scalar superproduct is associated. The geometric structure of the corresponding odd symmetric superspace, which is of hyper-Kähler type, is described. Finally, some classes of solutions to the quadratic system are discussed.
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