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Published online by Cambridge University Press: 22 January 2016
Recently attention has been focused on manifolds that carry covariant tensors that are merely bounded measurable. In terms of these tensors global differential equations are defined and their weak solutions are called harmonic functions. Nakai initiated the classification of these manifolds with respect to the global properties of the harmonic functions that they carry.
Supported in part by the National Science Foundation, Grant GP 14133.