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The horizontal and complete lifts from a manifold M n to its cotangent bundles * T(M n) were studied and many others. The purpose of this paper is to use certain methods by which f λ (7,1)-structure in M n can be extended to * T(M n). In particular, we have studied horizontal and complete lifts of f λ (7,1)-structure from a manifold to its cotangent bundle.

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