Einstein's equation on three-dimensional metric Lie groups with vector torsion

DOI10.1007/S10958-023-06796-1OpenAlexW4388931418MaRDI QIDQ6147666

No author found.

Publication date: 1 February 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-023-06796-1

zbMATH Keywords

Lie groupsEinstein manifoldsconformally flat manifolds

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Local Riemannian geometry (53B20) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

Cites Work

• Some vector fields on a Riemannian manifold with semi-symmetric metric connection
• Homogeneous structures on three-dimensional Lorentzian manifolds
• Some properties of a semi-symmetric metric connection in a Riemannian manifold
• Curvatures of left invariant metrics on Lie groups
• The geodesics of metric connections with vectorial torsion
• Riemannian manifolds with a semi-symmetric metric connection satisfying some semisymmetry conditions
• Locally conformally homogeneous pseudo-Riemannian spaces
• Manifolds with vectorial torsion
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Einstein's equation on three-dimensional metric Lie groups with vector torsion