Pseudo-Riemannian \(T\)-duals of compact Riemannian homogeneous spaces
type: Item
instance of: scholarly article
title: Pseudo-Riemannian \(T\)-duals of compact Riemannian homogeneous spaces
zbMATH Open document ID: 0965.53037
DOI: 10.1007/BF01236467
published in: Transformation Groups
publication date: 2001-07-15T00:00:00Z
review text: The author describes the construction of pseudo-Riemannian homogeneous spaces with special curvature properties, such as Einstein spaces, based on the notion of a certain duality between compact and non-compact homogeneous spaces. A dual pseudo-Riemannian space \((G'/H',g')\) of a compact Riemannian homogeneous space \((G/H,g)\) with homogeneous Spin-structure admits a homogeneous Spin-structure and the \(G\)-invariant Killing spinors on \((G/H,g)\) correspond to \(G'\)-invariant Killing spinors on \((G'/H',g')\).
Mathematics Subject Classification ID: 53C30
Mathematics Subject Classification ID: 53C27
zbMATH DE Number: 1491686
zbMATH Keywords: pseudo-Riemannian homogeneous space
zbMATH Keywords: Spin-structure
zbMATH Keywords: Killing spinor
Wikidata QID: Q115393801
author: Ines Kath
reviewed by: Nicolae A. Soare
MaRDI profile type: Publication
cites work: Real Killing spinors and holonomy
cites work: Q4001351
cites work: Q4305108
cites work: Der erste Eigenwert des Dirac‐Operators einer kompakten, Riemannschen Mannigfaltigkeit nichtnegativer Skalarkrümmung
cites work: On nearly parallel \(G_2\)-structures
cites work: Q3897665
cites work: Q4007989
cites work: \(G^*_{2(2)}\)-structures on pseudo-Riemannian manifolds
description: scientific article; zbMATH DE number 1491686