What are e- and m-Riemann-Christoffel curvatures?

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Currently, I am going through Information Geometry of Boltzmann Machines by Amari et al.

In section III, the authors use the terms 'e- and m-Riemann-Christoffel curvatures'.

My question What are the definitions of e- and m-Riemann-Christoffel curvatures?

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I think you will find the answer ( or at least a starting point ) on page 38 of Amaris book.