Geodesic
On hyperfoliations of spheres
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 6 (1999), pp. 213-222.

Voir la notice de l'article provenant de la source Math-Net.Ru

It is proved that a sphere of positive curvature of a dimension more than or equal to five admits no hyperfoliation of non-negative curvature 
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     author = {D. V. Bolotov},
     title = {On hyperfoliations of spheres},
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D. V. Bolotov. On hyperfoliations of spheres. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 6 (1999), pp. 213-222. http://geodesic.mathdoc.fr/item/JMAG_1999_6_a1/