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Jana, Sanjib Kumar
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Mathematics

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On Generalized Space Matter Tensor Das, Bikiran; Jana, Sanjib Kumar; Ghosh, Sanjoy Kumar; Baishya, Kanak Kanti
Journal of the Indonesian Mathematical Society Vol. 31 No. 1 (2025): MARCH
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.v31i1.1184

Abstract

Extending the concept of Petrov tensor, in this article we attempt to introduce generalised space matter tensor [1],[2], [3], [4]. In the Riemannian manifold, it is found that the second Bianchi identity for the generalized space-matter tensor is satisfied if the energy-momentum tensor is of Codazzi type [5]. We study the nature of Riemannian manifolds by imposing curvature restrictions like symmetry, recurrent, weakly symmetry [6], [7], [8] etc. on this generalized Petrov space-matter tensor. We obtain the eigen values of the Ricci tensor S corresponding to the vector fields associated with the various 1− forms.
Co-Authors Baishya, Kanak Kanti Das, Bikiran Ghosh, Sanjoy Kumar