Shen, Zhongmin On the Ricci curvature tensor in Finsler geometry. (English) Zbl 1324.53068 Symmetry Cult. Sci. 23, No. 2, 125-131 (2012). 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. Cited in 1 Document MSC: 53C60 Global differential geometry of Finsler spaces and generalizations (areal metrics) 53B40 Local differential geometry of Finsler spaces and generalizations (areal metrics) Keywords:Finsler metric; Berwald connection; Ricci curvature tensor; scalar curvature; Einstein fields equation PDFBibTeX XMLCite \textit{Z. Shen}, Symmetry Cult. Sci. 23, No. 2, 125--131 (2012; Zbl 1324.53068)