✦ LIBER ✦

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

✍ Scribed by Lora Nikolova; V. A. Rizov

Publisher: Springer
Year: 1985
Tongue: English
Weight: 400 KB
Volume: 10
Category: Article
ISSN: 0377-9017
DOI: 10.1007/bf00420573

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✦ Synopsis

For a model of the multidimensional universe we take a smooth manifold S which under the action of a compact Lie group G fibres into orbits of the same type G/H acquiring the structure of a fibre bundle with typical fibre G/H and base -the orbit space S/G (identified with the four-dimensional spacetime). The notion of a connection form T on the fibre bundle S ~ S/G is defined and its role for some geometrical structures on S is considered. In the framework of a theory of G-invariant tensor-type fields on S, it is shown that ~-being itself a field of this type -determines a dimensional reduction of the objects on S to objects

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