associated tensor

associated tensor

[ə′sō·sē‚ād·əd ′ten·sər]
(mathematics)
A tensor obtained by taking the inner product of a given tensor with the metric tensor, or by performing a series of such operations.
References in periodicals archive ?
Another difference between the models is that common liquid crystal "defects" (such as "point defects" and "disclination lines") are singularities of the director field in the Oseen-Frank model, whereas in the Landau-de Gennes model, these have a small but finite "core size" and the associated tensor field Q remains smooth throughout a neighborhood of such a defect.
In such a case a, b, c, d are called the associated scalars, A, B are called the associated main and auxiliary 1-forms, U, V are called respectively main and auxiliary generators and D is called the associated tensor of the manifold.
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