Pseudo-Riemannian \(T\)-duals of compact Riemannian homogeneous spaces

DOI10.1007/BF01236467zbMath0965.53037WikidataQ115393801 ScholiaQ115393801MaRDI QIDQ1576597

Ines Kath

Publication date: 15 July 2001

Published in: Transformation Groups (Search for Journal in Brave)

zbMATH Keywords

Killing spinorpseudo-Riemannian homogeneous spaceSpin-structure

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Spin and Spin({}^c) geometry (53C27)

Related Items (11)

Generalized symmetric spaces, Yu. P. Solovyov's formula, and the generalized Hermitian geometry ⋮ Nearly para-Kähler geometry on Lie groups ⋮ Classification of homogeneous Einstein metrics on pseudo-hyperbolic spaces ⋮ Twistorial eigenvalue estimates for generalized Dirac operators with torsion ⋮ On the characteristic connection of gwistor space ⋮ Invariant spinors on homogeneous spheres ⋮ Homogeneous Sasakian and 3-Sasakian structures from the spinorial viewpoint ⋮ Conical Ricci-flat nearly para-Kähler manifolds ⋮ Diagram involutions and homogeneous Ricci-flat metrics ⋮ On locally homogeneous pseudo-Riemannian compact Einstein manifolds ⋮ \(G^*_{2(2)}\)-structures on pseudo-Riemannian manifolds

Cites Work

• \(G^*_{2(2)}\)-structures on pseudo-Riemannian manifolds
• On nearly parallel \(G_2\)-structures
• Real Killing spinors and holonomy
• Der erste Eigenwert des Dirac‐Operators einer kompakten, Riemannschen Mannigfaltigkeit nichtnegativer Skalarkrümmung
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