CHINESE ANNALS OF MATHEMATICS SERIES B, cilt.29, ss.631-640, 2008 (SCI-Expanded)
The authors consider a differentiable manifold with I -structure which is an isomorphic representation of an associative, commutative and unitial algebra. For Riemannian metric tensor fields, the I broken vertical bar-operators associated with r-regular I -structure are introduced. With the help of I broken vertical bar-operators, the hyperholomorphity condition of B-manifolds is established.