Abstract
We explore "the horizontal lift " of the structure J satisfying J(2)-alpha J-beta I=0 and establish that it as a kind of metallic structure. An analysis of Nijenhuis tensor of metallic structure J(H) is presented, and a new tensor field (J) over tilde of 1,1-type is introduced and demonstrated to be metallic structure. Some results on the Nijenhuis tensor and the Lie derivative of (J) over tilde in TM are proved and explicit examples are given. Moreover, the metallic structure (J) over tilde endowed with projection operators (l) over tilde and (m) over tilde in TM is studied.