Wick-rotations of pseudo-Riemannian Lie groups

DOI10.1016/J.GEOMPHYS.2020.103902zbMath1450.53057arXiv1810.12037OpenAlexW2898427857WikidataQ115352730 ScholiaQ115352730MaRDI QIDQ2207485

Christer Helleland

Publication date: 22 October 2020

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

Full work available at URL: https://arxiv.org/abs/1810.12037

zbMATH Keywords

Lie groupsCartan involutionsreal GITWick-rotations

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Methods of quantum field theory in general relativity and gravitational theory (83C47) Applications of global differential geometry to the sciences (53C80) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (2)

Nice pseudo-Riemannian nilsolitons ⋮ Indefinite nilsolitons and Einstein solvmanifolds

Cites Work

• Unnamed Item
• Concerning the existence of Einstein and Ricci soliton metrics on solvable Lie groups
• Curvatures of left invariant metrics on Lie groups
• Wick rotations and real GIT
• A Wick-rotatable metric is purely electric
• Real GIT with applications to compatible representations and Wick-rotations
• Structure and Geometry of Lie Groups
• Minimum Vectors for Real Reductive Algebraic Groups
• Lie groups beyond an introduction
• Ricci soliton homogeneous nilmanifolds

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