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