6533b823fe1ef96bd127ece4

RESEARCH PRODUCT

Intrinsic characterization of space‐time symmetric tensors

Carles BonaBartolomé CollJuan Antonio Morales

subject

Tensor contractionPure mathematicsFísica matemàticaTensor product of Hilbert spacesStatistical and Nonlinear PhysicsTopologia algebraicaTopologyTensor fieldSymmetric tensorRicci decompositionTensorMetric tensor (general relativity)Tensor densityMathematical PhysicsMathematics

description

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.

yearjournalcountryeditionlanguage
1992-02-01Journal of Mathematical Physics
https://doi.org/10.1063/1.529802