Mechanics of Continuous Media in (L_n,g)-spaces. I. Introduction and mathematical tools

2002/03/05 by Sawa Manoff, Manoff, Sawa · 1 citation
Computer Science · Engineering · Physics and Astronomy · #Advanced Mathematical Modeling in Engineering #Elasticity and Material Modeling #Elasticity and Wave Propagation #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #gr-qc

paper · pdf · doi:10.48550/arxiv.gr-qc/0203016

34 pages, LaTeX

arxiv created 2002/03/05 · openalex publication_date 2002/03/05 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 (L_n,g)-spaces is considered. The Hodge (star) operator is generalized for (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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