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On the Ricci curvature tensor in Finsler geometry. (English) Zbl 1324.53068

Summary: In this paper, I introduce the notions of Ricci curvature tensor and scalar curvature, using the Berwald connection to derive the Einstein fields equation.

MSC:

53C60 Global differential geometry of Finsler spaces and generalizations (areal metrics)
53B40 Local differential geometry of Finsler spaces and generalizations (areal metrics)
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