covariant index

covariant index

[kō′ver·ē·ənt ′in‚deks]
(mathematics)
A tensor index such that, under a transformation of coordinates, the procedure for obtaining a component of the transformed tensor for which this index has value p involves taking a sum over q of the product of a component of the original tensor for which the index has the value q times the partial derivative of the q th original coordinate with respect to the p th transformed coordinate; it is written as a subscript.
References in periodicals archive ?
From here it follows that the contribution to the energy of substance unit with mass m is made by the timelike component of 4-vector of generalized velocity with the covariant index [S.
As a result, Hamiltonian (84) is the timelike component of a 4-vector with covariant index [H.