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    On Lifts of Structure Satisfying F^(K+1)-a²F^(K-1)= 0

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    https://www.riss.kr/link?id=A75024530

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    The horizontal and complete lifts from a differentiable manifold Mⁿ of class C^(∞) to its cotangent bundles¤ T(Mⁿ) have been studied by Yano and Patterson [10, 11]. Yano and Ishihara [9] studied lifts of an f-structure in the tangent and cotangent bundles. The present paper deals with some problems on horizontal and complete lifts of F((K + 1),-a²(K-1))-structure (K, odd and≥ 3), both in tangent and cotangent bundles and the prolongations in the second tangent space T²(Mⁿ).
    The results of this paper have been announced by the author in Abstracts American Mathematical Society [2].
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    The horizontal and complete lifts from a differentiable manifold Mⁿ of class C^(∞) to its cotangent bundles¤ T(Mⁿ) have been studied by Yano and Patterson [10, 11]. Yano and Ishihara [9] studied lifts of an f-structure in the tangent and cotang...

    The horizontal and complete lifts from a differentiable manifold Mⁿ of class C^(∞) to its cotangent bundles¤ T(Mⁿ) have been studied by Yano and Patterson [10, 11]. Yano and Ishihara [9] studied lifts of an f-structure in the tangent and cotangent bundles. The present paper deals with some problems on horizontal and complete lifts of F((K + 1),-a²(K-1))-structure (K, odd and≥ 3), both in tangent and cotangent bundles and the prolongations in the second tangent space T²(Mⁿ).
    The results of this paper have been announced by the author in Abstracts American Mathematical Society [2].

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