On the causal structure of Lorentzian Lie groups. A globality theorem for Lorentzian cones in certain solvable Lie algebras

DOI10.1007/BF01444225zbMath0854.22007OpenAlexW2912265616WikidataQ115393544 ScholiaQ115393544MaRDI QIDQ1923234

Dirk Mittenhuber

Publication date: 7 October 1996

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/182991

zbMATH Keywords

spacetimeLie groupLorentzian manifoldnilpotent Lie algebraLorentzian cone

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Harmonic analysis on homogeneous spaces (43A85) Lie algebras of Lie groups (22E60) Nilpotent and solvable Lie groups (22E25) General properties and structure of real Lie groups (22E15)

Cites Work

• On causal structure of homogeneous Lorentzian manifolds
• Lie semigroups and their applications
• Hyperplane subalgebras of real Lie algebras
• On the casual structure of homogeneous manifolds.
• The Duality Between Subsemigroups of Lie Groups and Monotone Functions
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