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In the present paper we prove Liouville-type theorems: non-existence theoremsfor some complete Riemannian almost product manifolds and special mappings ofcomplete Riemannian manifolds which generalize similar results for compactmanifolds.

A Liouvile-type theorems for some classes of complete Riemannian almost product manifolds and for special mappings of complete Riemannian manifolds