Affine transformations and the geometry of superspace

DOI10.1063/1.524908zbMath0457.58021OpenAlexW2015207654MaRDI QIDQ3906816

Robin W. Tucker

Publication date: 1981

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.524908

zbMATH Keywords

simple supergravitycomplex quaternionic algebracomplex quaternionic valued differential formsgauged graded Poincare groupgeometry of a reduced manifoldtorsion free connection on the bundle of orthonormal frames over space-time with the structure group 0(3,1) that preserves the Minkowski metric

Mathematics Subject Classification ID

Geometrodynamics and the holographic principle (83E05) Applications of PDEs on manifolds (58J90) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Connections (general theory) (53C05) Fiber bundles in algebraic topology (55R10)

Related Items

Groups of transformations of Riemannian manifolds, Short story of the term “algebraic analysis”, Graded gauge theories over supersymmetric space, The vacuum Einstein equations and deformations of the Bianchi identity, Simple supergravity pp-waves

Cites Work

• Space-time edge geometry
• On Connections Of Cartan