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Abstract
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In this paper, the standard almost complex structure on the tan-
gent bunle of a Riemannian manifold will be generalized. We will generalize
the standard one to the new ones such that the induced (0; 2)-tensor on the
tangent bundle using these structures and Liouville 1-form will be a Rie-
mannian metric. Moreover, under the integrability condition, the curvature
operator of the base manifold will be classi ed.
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