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In this note we wish to implement some very technical consequences due to professor(s) P.J. Basser and Sinisa Pajevic [5] to discuss the spectral decomposition of 4th-order Douglas tensor in *P-Finsler manifold. Actually, throughout the article, we have just reviewed the results of [5] for a particular 4th-order covariance Douglas tensor, most often enunciated in Finslerian geometry. Moreover, spectral decomposition techniques have been studied for isotropic Douglas tensor.
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Kumar et al. (2011) studied this question.
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