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REPRESENTATION THEOREMS IN A 4-DIMENSIONAL EUCLIDEAN SPACE. THE CASE WITH ONLY SKEW-SYMMETRIC TENSORS

2014
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International Journal of Pure and Applied Mathematics
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In a 4-dimensional Euclidean space, representation theorems have been recently obtained for isotropic functions depending on an arbitrary number of scalars, skew-symmetric second order tensors and symmetric second order tensors; the cases has been treated where at least one of these last ones has an eigenvalue with multiplicity 1 or two distinct eigenvalues with multiplicity 2. The case with at least a non null vector, among the independent variables, was already treated in literature. There

doi:10.12732/ijpam.v93i6.14
fatcat:cnnxxxbhjjgt7h6ebk3mufnm44