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The role of a vector-valued field in multidimensional universe geometry

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Publication:1067254
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DOI10.1007/BF00420573zbMath0579.55009MaRDI QIDQ1067254

V. A. Rizov, Lora Nikolova

Publication date: 1985

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


zbMATH Keywords

orbit spacefibre bundleconnection formaction of a compact Lie groupfour-dimensional spacetimeG-invariant tensor-type fieldsmultidimensional universe


Mathematics Subject Classification ID

Geometrodynamics and the holographic principle (83E05) Applications of global differential geometry to the sciences (53C80) Gravitational energy and conservation laws; groups of motions (83C40) Connections (general theory) (53C05) Fiber spaces and bundles in algebraic topology (55R99)


Related Items (3)

A two-level Kaluza-Klein theory ⋮ Classification of G-invariant configurations of Einstein-Cartan theory on a multidimensional universe ⋮ Fields and connections in a fiber bundle over spacetime arising from the reduction of the multidimensional linear connection



Cites Work

  • Geometry of multidimensional universes
  • Symmetries of Einstein-Yang-Mills fields and dimensional reduction
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  • Unnamed Item


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