Strongly degenerate homogeneous pseudo-Kähler structures of linear type and complex plane waves

DOI10.1016/J.GEOMPHYS.2013.04.010zbMath1280.53047arXiv1207.5637OpenAlexW1978383552MaRDI QIDQ390948

Marco Castrillón López, Ignacio Luján

Publication date: 9 January 2014

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

Full work available at URL: https://arxiv.org/abs/1207.5637

zbMATH Keywords

homogeneous plane wavespseudo-hyper-Kählerpseudo-Kählerpseudo-quaternion Kählerreductive homogeneous pseudo-Riemannian spaces

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Applications of global differential geometry to the sciences (53C80) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (4)

Holonomy classification of Lorentz-Kähler manifolds ⋮ Homogeneous pseudo-Riemannian structures of linear type ⋮ Non-degenerate homogeneous \(\epsilon\)-Kähler and \(\epsilon\)-quaternion Kähler structures of linear type ⋮ Reductive locally homogeneous pseudo-Riemannian manifolds and Ambrose-Singer connections

Cites Work

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• Homogeneous structures of linear type on \(\epsilon\)-Kähler and \(\epsilon\)-quaternion Kähler manifolds
• Homogeneous pseudo-Riemannian structures of linear type
• On the structure of pseudo-Riemannian symmetric spaces
• Homogeneous quaternionic Kähler structures and quaternionic hyperbolic space
• Special geometry, cubic polynomials and homogeneous quaternionic spaces
• Singularity theorems and their consequences
• Reductive homogeneous pseudo-Riemannian manifolds
• Homogeneous Kähler manifolds and T-algebras in \(N=2\) supergravity and superstrings
• Homogeneous plane waves
• On homogeneous Riemannian manifolds
• Homogeneous Lorentzian spaces admitting a homogeneous structure of type \(\mathcal T_{1} \oplus \mathcal T_{3}\)
• The Geometry of Walker Manifolds
• Cosmological Einstein–Yang–Mills equations
• Penrose limits and spacetime singularities
• Characterizing the complex hyperbolic space by Kähler homogeneous structures
• Homogeneous spacetimes and separation of variables in the Hamilton–Jacobi equation
• Lorentzian symmetric spaces
• Degenerate homogeneous structures of type \({\mathcal S}_1\) on pseudo-Riemannian manifolds

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