Geodesic
Divergence properties of the curvatures of a~vector field and of a~family of surfaces
Matematičeskie zametki, Tome 3 (1968) no. 1, pp. 103-111.

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A representation in divergent form is given for the total curvature and mean curvature of a vector field. 
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     title = {Divergence properties of the curvatures of a~vector field and of a~family of surfaces},
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Yu. A. Aminov. Divergence properties of the curvatures of a~vector field and of a~family of surfaces. Matematičeskie zametki, Tome 3 (1968) no. 1, pp. 103-111. http://geodesic.mathdoc.fr/item/MZM_1968_3_1_a12/