Locally homogeneous pp-waves

DOI10.1016/j.geomphys.2016.06.013zbMath1352.53059arXiv1410.3572OpenAlexW1632763279WikidataQ125676092 ScholiaQ125676092MaRDI QIDQ314033

Thomas Leistner, Wolfgang Globke

Publication date: 12 September 2016

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.3572

zbMATH Keywords

homogeneous spacesplane wavespp-wavesLorentzian manifoldsKilling vector fieldsspecial holonomy

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Issues of holonomy in differential geometry (53C29) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items

Ricci solitons on four-dimensional Lorentzian Lie groups ⋮ Almost Kähler metrics and pp-wave spacetimes ⋮ Exact parallel waves in general relativity ⋮ Finsler pp-waves and the Penrose limit ⋮ On Lorentzian connections with parallel skew torsion ⋮ Parallel spinors on globally hyperbolic Lorentzian four-manifolds ⋮ Completeness of compact Lorentzian manifolds with abelian holonomy

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