SPECTRAL DECOMPOSITION OF A 4TH-ORDER COVARIANCE DOUGLAS TENSOR IN *P-FINSLER MANIFOLDS

S. Kumar; K.C. Petwal

doi:10.51286/albjm/1300197025

2011 SPECTRAL DECOMPOSITION OF A

4

TH-ORDER COVARIANCE DOUGLAS TENSOR IN

^*{\rm{P}}

-FINSLER MANIFOLDS

S. Kumar, K.C. Petwal

Author Affiliations +

Albanian J. Math. 5(1): 53-65 (2011). DOI: 10.51286/albjm/1300197025

Abstract

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 $4$ th-order Douglas tensor in $^*{\rm{P}}$ -Finsler manifold. Actually, throughout the article, we have just reviewed the results of [5] for a particular $4$ th-order covariance Douglas tensor, most often enunciated in Finslerian geometry. Moreover, spectral decomposition techniques have been studied for isotropic Douglas tensor.

Funding Statement

We extend our hearty thanks to all those dignitaries whose master pieces and epics have been used during the preparation of present article. Special thanks are also due to Professor(s) P.J. Basser and S. Pajevic, whose precious epics helped me in the formulation of present manuscript.

Citation

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S. Kumar. K.C. Petwal. "SPECTRAL DECOMPOSITION OF A $4$ TH-ORDER COVARIANCE DOUGLAS TENSOR IN $^*{\rm{P}}$ -FINSLER MANIFOLDS." Albanian J. Math. 5 (1) 53 - 65, 2011. https://doi.org/10.51286/albjm/1300197025