Sfb 288 Differential Geometry and Quantum Physics

Abstract for Sfb Preprint No. 253

Pseudo-Riemannian $T$-duals of compact Riemannian reductive spaces

I. Kath

The aim of this paper is the construction of pseudo-Riemannian homogeneous spaces with special curvature properties such as Einstein spaces etc. using corresponding known compact Riemannian ones. This construction is based on the notion of a certain duality between compact and non-compact homogeneous spaces.

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