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1-conformally flat statistical submanifolds. (English) Zbl 0978.53040

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.

MSC:

53B25 Local submanifolds
53C40 Global submanifolds
53C05 Connections (general theory)
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