ON THE ALGEBRAIC CLASSIFICATION OF PSEUDO-RIEMANNIAN SPACES

DOI10.1142/S0219887811005932zbMath1242.53023arXiv1008.3021WikidataQ115441092 ScholiaQ115441092MaRDI QIDQ2891188

Alan A. Coley, Sigbjørn Hervik

Publication date: 13 June 2012

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.3021

zbMATH Keywords

pseudo-Riemannian spaceclassification of Weyl tensors

Mathematics Subject Classification ID

Kaluza-Klein and other higher-dimensional theories (83E15) Differential invariants (local theory), geometric objects (53A55) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (3)

A generalization of the Goldberg-Sachs theorem and its consequences ⋮ \(\mathcal{I}\)-degenerate pseudo-Riemannian metrics ⋮ Spinors and the Weyl tensor classification in six dimensions

Cites Work

• Higher dimensional bivectors and classification of the Weyl operator
• Higher dimensional VSI spacetimes
• Curvature operators and scalar curvature invariants
• Spacetimes characterized by their scalar curvature invariants
• Kundt spacetimes
• Neutral Einstein metrics in four dimensions
• Vanishing scalar invariant spacetimes in higher dimensions
• All spacetimes with vanishing curvature invariants
• Classification of the Weyl tensor in higher dimensions
• Classification of the Weyl tensor in higher dimensions and applications
• On spacetimes with constant scalar invariants

This page was built for publication: ON THE ALGEBRAIC CLASSIFICATION OF PSEUDO-RIEMANNIAN SPACES