| Summary: | The way a financially sustainable growth in a country affects the environment protection, energy efficiency and the social issues there is study. Financial decisions that take into account their long-term social, energy and environmental consequences should be central to the financially sustainable growth of the oil and gas industries all over the world, including Russia and China. The oil and gas industry transition to "Green Finance" in these two countries considered by a sustainable growth model. A new mathematical dynamic model, which uses the Ricci tensor, is presented. For a sustainable growth intensity analysis (a) Financial sustainable growth index (FSI), (b) Higgins' sustainable growth rate (SGI Higgins), (c) Ivashkovskaya' sustainable growth index (SGI Ivashkovskaya), (d) Varaya’ sustainable growth index modification (SGImodif) indicators' average values and (e) the graph' average weights of the Ricci curvatures (Re) are compared. The values of the indices (a)/(e) are used to determine parameters of the presented dynamic model for Russian and China oil and gas industries.
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