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  • 1 Dipartimento di Matematica, Universitá Di Bari Via Orabona 4, 70125 Bari, Italy Via Orabona 4, 70125 Bari, Italy
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We consider a genaralization of contact metric manifolds given by assignment of 1-formsη1, . . . ,ηsand a compatible metric gon a manifold. With some integrability conditions they are called almostS-manifolds. We give a sufficient condition regarding the curvature of an almostS-manifold to be locally isometric to a product of a Euclidean space and a sphere.

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