Uohashi, Keiko; Ohara, Atsumi; Fujii, Takao 1-conformally flat statistical submanifolds. (English) Zbl 0978.53040 Osaka J. Math. 37, No. 2, 501-507 (2000). The paper deals with “statistical manifolds”, i.e., with triples \((N, \nabla,h)\), where \(N\) is a manifold, \(\nabla\) is a torsion free affine connection and \(h\) is a pseudo-Riemannian metric such that \(\nabla h\) is symmetric. The authors prove several results concerning conformally flat statistical submanifolds and flat statistical manifolds. Reviewer: Marco Modugno (Firenze) Cited in 1 ReviewCited in 3 Documents MSC: 53B25 Local submanifolds 53C40 Global submanifolds 53C05 Connections (general theory) Keywords:conformally flat; statistical submanifolds; flat statistical manifolds PDFBibTeX XMLCite \textit{K. Uohashi} et al., Osaka J. Math. 37, No. 2, 501--507 (2000; Zbl 0978.53040)