Abstract
We explore “the horizontal lift” of the structure J satisfying J2 − αJ − βI = 0 and establish that it as a kind of metallic structure. An analysis of Nijenhuis tensor of metallic structure JH is presented, and a new tensor field of (1,1)‐type is introduced and demonstrated to be metallic structure. Some results on the Nijenhuis tensor and the Lie derivative of in TM are proved and explicit examples are given. Moreover, the metallic structure endowed with projection operators and in TM is studied.
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