Complete lift of a structure satisfying F K − ( − ) K + 1 F = 0

Lovejoy S. Das

International Journal of Mathematics and Mathematical Sciences, 1992, vol. 15, 1-6

Abstract:

The idea of f -structure manifold on a differentiable manifold was initiated and developed by Yano [1], Ishihara and Yano [2], Goldberg [3] and among others. The horizontal and complete lifts from a differentiable manifold M n of class C ∞ to its cotangent bundles have been studied by Yano and Patterson [4,5]. Yano and Ishihara [6] have studied lifts of an f -structure in the tangent and cotangent bundles. The purpose of this paper is to obtain integrability conditions of a structure satisfying F K − ( − ) K + 1 F = 0 and F W − ( − ) W + 1 F ≠ 0 for 1 < W < K , in the tangent bundle.

Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:193281

DOI: 10.1155/S0161171292001042

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