Abstract
The aim of the paper is to give a classification up to isomorphism of (local or simply-connected global) Riemannian almost-product structures (i.e. O(n1) × ... × O(nt)-structures) whose automorphism group has maximal dimension (the so-called ℳ-structures). The describing objects are Lie algebras with some additional structure, and the methods are mainly Lie algebraic. The results obtained are applied to determine all ℳ-structures on simply-connected spaces of constant curvature.
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