(a, 1)f structures on product of spheres

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Our aim in this paper is to give some examples of $(a, 1)f$ Riemannian structures (a generalization of an $r$-paracontact structure) induced on product of spheres of codimension $r$ ($r \in \{1,2\} $) in an $m$-dimensional Euclidean space ($m>2$), endowed with an almost product structure.
10 pages

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