Intrinsic characterization of space-time symmetric tensors

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1992
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Abstract
This paper essentially deals with the classification of a symmetric tensor on a four‐dimensional Lorentzian space. A method is given to find the algebraic type of such a tensor. A system of concomitants of the tensor is constructed, which allows one to know the causal character of the eigenspace corresponding to a given eigenvalue, and to obtain covariantly their eigenvectors. Some algebraic as well as differential applications are considered.
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Bona, Carles Coll, Bartolomé Morales Lladosa, Juan Antonio 1992 Intrinsic characterization of space-time symmetric tensors Journal of Mathematical Physics 33 2 670 681