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math.DG2019★ 2 cited
Decomposable (6, 5)-solutions in eleven-dimensional supergravity
Ioannis Chrysikos, Anton Galaev
This paper presents a series of constructions providing eleven-dimensional bosonic supergravity backgrounds. In particular, we treat Lorentzian manifolds given in terms of twisted…
math.DG2010★ 2 cited
Conformally flat Lorentzian manifolds with special holonomy groups
Anton S. Galaev
The local classification of conformally flat Lorentzian manifolds with special holonomy groups is obtained. The corresponding local metrics are certain extensions of Riemannian spa…
math.DG2003★ 33 cited
The spaces of curvature tensors for holonomy algebras of Lorentzian manifolds
Anton S. Galaev
The holonomy algebra $\g$ of an indecomposable Lorentzian (n+2)-dimensional manifold is a weakly-irreducible subalgebra of the Lorentzian algebra $\so_{1,n+1}$. L. Berard Berge…