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Some geometric structures on the tangent bundle of a Riemannian manifold

Papaghiuc N.

Demonstratio Mathematica

2004

Vol. 37, nr 1

215--228

It is defined a new almost complex structure with Norden metric (hyperbolic metric) on the tangent bundle TM of an n- dimensional Riemannian manifold M. Next, the conditions under which the considered almost complex structure with Norden metric belongs to one of the eight classes of almost complex manifolds with Norden metric obtained by G. T. Ganchev and D. V. Borisov in the classification from [2] there are studied.