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Mechanics of Continuous Media in $(\bar{L}_n,g)$-spaces. I. Introduction and mathematical tools

Sawa Manoff
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Abstract

Basic notions and mathematical tools in continuum media mechanics are recalled. The notion of exponent of a covariant differential operator is introduced and on its basis the geometrical interpretation of the curvature and the torsion in $(\bar{L}_n,g)$-spaces is considered. The Hodge (star) operator is generalized for $(\bar{L}_n,g)$-spaces. The kinematic characteristics of a flow are outline in brief. PACS numbers: 11.10.-z; 11.10.Ef; 7.10.+g; 47.75.+f; 47.90.+a; 83.10.Bb

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Sawa Manoff. 2002-03-05. Mechanics of Continuous Media in $(\bar{L}_n,g)$-spaces. I. Introduction and mathematical tools. https://arxiv.org/abs/gr-qc/0203016

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