Geometry of multidimensional universes

DOI10.1007/BF01209388zbMath0519.53055OpenAlexW2073840166MaRDI QIDQ1054296

Arkadiusz Jadczyk, Robert Coquereaux

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1007/bf01209388

zbMATH Keywords

interval spaceinvariant metricsspontaneous compactificationKaluza-Klein theoriesextended space-time

Mathematics Subject Classification ID

General relativity (83C99) Applications of global differential geometry to the sciences (53C80) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (32)

Symmetry of Einstein-Yang-Mills systems and dimensional reduction ⋮ Dimensional reduction of Dirac operator ⋮ A two-level Kaluza-Klein theory ⋮ Classification of G-invariant configurations of Einstein-Cartan theory on a multidimensional universe ⋮ Dimensional reduction of invariant linear connections and tensor fields on multidimensional space-time ⋮ Some global properties and invariance of bundle metrics in the Kaluza–Klein scheme ⋮ A certain class of Einstein-Yang-Mills systems ⋮ Canonical Higgs fields from higher-dimensional gravity ⋮ Delta-string -- a hybrid between wormhole and string ⋮ Dimensional reduction of invariant fields and differential operators. I: Reduction of invariant fields ⋮ On the dimensional reduction of invariant fields and differential operators ⋮ On higher dimensional Kaluza-Klein theories ⋮ Geometric T-duality: Buscher rules in general topology ⋮ The structure of spherically symmetric su(n) Yang–Mills fields ⋮ The properties of the action of the quasi-gauge group on the space of Kaluza-Klein Riemannian metrics. I: Existence of the tubular neighbourhood ⋮ The properties of the action of the quasi-gauge group on the space of Kaluza-Klein Riemannian metrics. II: The stratification theorem ⋮ Superunification from eleven dimensions ⋮ AN APPROXIMATE MODEL OF THE SPACETIME FOAM ⋮ Scalar fields and dynamical torsion in Kaluza-Klein theories ⋮ Domain with noncompactified extra dimensions in the multidimensional universe with compactified extra dimensions ⋮ Invariant Yang–Mills connections over non-reductive pseudo-Riemannian homogeneous spaces ⋮ Fields and connections in a fiber bundle over spacetime arising from the reduction of the multidimensional linear connection ⋮ The geometry of gauge fields ⋮ Geodesic equations for a charged particle in the unified theory of gravitational and electromagnetic interactions ⋮ Higher-dimensional unification by isometry ⋮ 4D Einstein equations in a general gauge Kaluza–Klein space ⋮ Strings from flux tube solutions in Kaluza-Klein theory ⋮ Geometrical approach to the dimensional reduction of symmetric gauge fields ⋮ Geometry of gauge fields in multidimensional universe ⋮ Kaluza-Klein geometry ⋮ The role of a vector-valued field in multidimensional universe geometry ⋮ Symmetries of Einstein-Yang-Mills fields and dimensional reduction

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