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Group-Theoretic Description of Riemannian Spaces

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Abstract

We show that the geometric structure of an arbitrarily curved Riemannian space is locally determined by a deformed group of its diffeomorphisms.

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  1. Dneprodzerzhinsk Technical University, Dneprodzerzhinsk

    S. E. Samokhvalov

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  1. S. E. Samokhvalov
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Samokhvalov, S.E. Group-Theoretic Description of Riemannian Spaces. Ukrainian Mathematical Journal 55, 1497–1509 (2003). https://doi.org/10.1023/B:UKMA.0000018010.14309.76

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  • DOI: https://doi.org/10.1023/B:UKMA.0000018010.14309.76

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