A global approach to absolute parallelism geometry

DOI10.1016/S0034-4877(13)00016-5zbMath1287.53019arXiv1209.1379MaRDI QIDQ2447115

Waleed A. Elsayed, Nabil Labib Youssef

Publication date: 24 April 2014

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.1379

zbMATH Keywords

Bianchi identitiescanonical connectiondual connectionabsolute parallelism geometryparallelization basisparallelization vector fieldWanas tensor

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Connections (general theory) (53C05)

Related Items (6)

A pure geometric theory of gravity and a material distribution ⋮ New conformal invariants in absolute parallelism geometry ⋮ Connections in sub-Riemannian geometry of parallelizable distributions ⋮ Einstein geometrization philosophy and differential identities in PAP-geometry ⋮ A field theory with curvature and anticurvature ⋮ Spherically symmetric solution in (1+4)-dimensional \(f(T)\) gravity theories

Cites Work

• Vacuum non singular black hole solutions in tetrad theory of gravitation
• Linear connections and curvature tensors in the geometry of parallelizable manifolds
• THE ACCELERATING EXPANSION OF THE UNIVERSE AND TORSION ENERGY
• CHARGED AXIALLY SYMMETRIC SOLUTION, ENERGY AND ANGULAR MOMENTUM IN TETRAD THEORY OF GRAVITATION
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