Poisson manifolds with compatible pseudo-metric and pseudo-Riemannian Lie algebras
نویسندگان
چکیده
منابع مشابه
Poisson manifolds with compatible pseudo-metric and pseudo-Riemannian Lie algebras
The notion of Poisson manifold with compatible pseudo-metric was introduced by the author in [1]. In this paper, we introduce a new class of Lie algebras which we call a pseudo-Riemannian Lie algebras. The two notions are strongly related: we prove that a linear Poisson structure on the dual of a Lie algebra has a compatible pseudo-metric if and only if the Lie algebra is a pseudo-Riemannian Li...
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ژورنال
عنوان ژورنال: Differential Geometry and its Applications
سال: 2004
ISSN: 0926-2245
DOI: 10.1016/j.difgeo.2003.10.013