Geodesic
On the Spheres Carrying an Almost Contingent Structure
Canadian mathematical bulletin, Tome 18 (1975) no. 2, pp. 195-201

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It is well-known that odd dimensional spheres carry a normal contact structure [6], Blair, Ludden and Yano [2] have recently studied a more general structure whose non-trivial example is an even dimensional sphere. Recently, the present author introduced the notion of almost contingent structures [8] with a view to develop a unified theory of various existing structures on a differentiable manifold. It is the purpose of this paper to show that even as well as odd dimensional spheres carry an almost contingent structure. In the sequel, each manifold introduced is C∞, arcwise connected and satisfies the second axiom of countability. 
Duggal, K. L. On the Spheres Carrying an Almost Contingent Structure. Canadian mathematical bulletin, Tome 18 (1975) no. 2, pp. 195-201. doi: 10.4153/CMB-1975-039-3
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