covariant components

covariant components

[kō′ver·ē·ənt kəm′pō·nəns]
(mathematics)
Vector or tensor components which, in a transformation from one set of basis vectors to another, transform in the same manner as the basis vectors.
References in periodicals archive ?
Then, the covariant components of Riemann tensors on S are defined by
v] is collinear with V), but keeping the algebraic property of diagonalisation of tensors, if expressed in covariant components.
i](x,p) being the covariant components of external forces.
mu]v] cannot be obtained directly from the embedding functions, but should be computed from the covariant components as their inverse matrix.
The Green strain tensor (E) may then be defined in terms of its covariant components as
The covariant components vx' and vy' are parallel to the coordinate surface z' = [z.
1), it is defined by a skew-symmetrical S[THETA](4)-invariant tensor field of degree 2 which may be expressed either by its covariant components
The covariant components of the metric tensor on the deformed middle surface are
Here 2 = [alpha] 1 and nffand nff respectively are the contravariant and covariant components of the unit vector field n normal to the hypersurface of material coordinates [F.
Therefore, we can express the fully covariant components of the generalized four-dimensional elasticity tensor in terms of the covariant components of the symmetric metric tensor [g.
are the covariant components of the tangent velocity vector field satisfying [u.