# Article

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Summary:
Let \$F\$ be a \$p\$-dimensional foliation on an \$n\$-manifold \$M\$, and \$T^r M\$ the \$r\$-tangent bundle of \$M\$. The purpose of this paper is to present some reltionship between the foliation \$F\$ and a natural lifting of \$F\$ to the bundle \$T^r M\$. Let \$L^r_q (F)\$ \$(q=0, 1, \dots, r)\$ be a foliation on \$T^r M\$ projectable onto \$F\$ and \$L^r_q= \{L^r_q (F)\}\$ a natural lifting of foliations to \$T^r M\$. The author proves the following theorem: Any natural lifting of foliations to the \$r\$-tangent bundle is equal to one of the liftings \$L^r_0, L^r_1, \dots, L^r_n\$. \par The exposition is clear and well organized.

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