In this note we wish to compliment some recent enhancements in the cosmological literature by implementing notions of Einstein’s conformal geometry and its role in analysing the dynamical structured cosmos. In particular, we shall discuss some tensor structures like; Yang and Bach tensors, which are responsible to generate any generic metric in the form of Einstein one and hence produce Einstein’s equations. Besides, we shall outline some conformally transformed Einstein’s geometric configurations which play vitally crucial roles in the fabrication of many discrete versions of Einstein’s equation. Finally, we shall employ Ricci flow mechanism to evolve conformally deformed Einstein’s geometric configurations as the non-linear heat diffusion expressions.
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