Holonomy groups of Lorentzian manifolds

DOI10.1070/RM2015V070N02ABEH004947zbMath1332.53065arXiv1611.01551OpenAlexW3098313387MaRDI QIDQ3449051

Anton S. Galaev

Publication date: 3 November 2015

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.01551

zbMATH Keywords

Einstein equationLorentzian manifoldholonomy groupholonomy algebraconformally flat manifoldWalker manifold2-symmetric Lorentzian manifoldrecurrent spinor field

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Issues of holonomy in differential geometry (53C29) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (8)

The single copy of the gravitational holonomy ⋮ Holonomy classification of Lorentz-Kähler manifolds ⋮ Local type III metrics with holonomy in \(\mathrm{G}_2^\ast\) ⋮ Decomposable (5, 6)-solutions in eleven-dimensional supergravity ⋮ On Lorentzian connections with parallel skew torsion ⋮ On holonomy of Weyl connections in Lorentzian signature ⋮ Compact Lorentzian holonomy ⋮ Parallel spinors on Lorentzian Weyl spaces

This page was built for publication: Holonomy groups of Lorentzian manifolds