Lie group geometry: Riemann and Ricci tensors and normal forms of Lie algebras

DOI10.1134/s0040577924110011MaRDI QIDQ6663768

A. V. Borovskikh

Publication date: 15 January 2025

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Ricci tensordual algebraRiemann-Christoffel tensorgeometry of groupsgeometrically normal form of algebra

Mathematics Subject Classification ID

Differential geometric aspects in vector and tensor analysis (53A45) Structure theory for Lie algebras and superalgebras (17B05) Lie algebras of Lie groups (22E60) Local Riemannian geometry (53B20) Local Lie groups (22E05)

Cites Work

• Curvatures of left invariant metrics on Lie groups
• La géometrie des groupes de transformations.
• Differential geometry, Lie groups, and symmetric spaces.
• Automorphisms of real four-dimensional Lie algebras and the invariant characterization of homogeneous 4-spaces
• Sugli spazi a tre dimensioni che ammettono un gruppo continuo di movimenti.
• Lie group geometry. Invariant metrics and dynamical systems, dual algebra, and their applications in the group analysis of a one-dimensional kinetic equation

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