Geodesic
On extremal properties of compact parabolic surfaces in a Riemannian space
Sbornik. Mathematics, Tome 61 (1988) no. 1, pp. 113-127 Cet article a éte moissonné depuis la source Math-Net.Ru

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The structure of parabolic surfaces in a Riemannian space is studied. Conditions are determined for compact parabolic surfaces to be totally geodesic. The proof uses the normal bundle of the surface with the Sasaki metric. A differentiable horizontal distribution arises on this bundle. It is proved that the distribution is holonomic and totally geodesic. Bibliography: 23 titles. 
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A. A. Borisenko. On extremal properties of compact parabolic surfaces in a Riemannian space. Sbornik. Mathematics, Tome 61 (1988) no. 1, pp. 113-127. http://geodesic.mathdoc.fr/item/SM_1988_61_1_a7/

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