%0 Journal Article %T Spectral Decomposition of a 4th-order Covariance Douglas tensor in *P-Finsler Manifolds %A S. Kumar %A K. C. Petwal %J Albanian Journal of Mathematics %D 2011 %I AulonaPress %X In this note we wish to implement some very technical consequences due to professor(s) P.J. Basser and Sinisa Pajevic cite{5b} 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 cite{5b} 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. %U http://journals.aulonapress.com/index.php/ajm/article/view/367/410