Geodesic
Minimal real currents on compact Riemannian manifolds
Izvestiya. Mathematics , Tome 11 (1977) no. 4, pp. 807-820

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In this article we obtain a necessary and sufficient condition for the minimality of real currents in homology classes of a compact Riemannian manifold that are associated with forms with zero covariant derivative. This condition is used, in particular, to study the minimality of surfaces in compact Lie groups. Bibliography: 14 titles. 
@article{IM2_1977_11_4_a5,
     author = {D\`ao Trong Thi},
     title = {Minimal real currents on compact {Riemannian} manifolds},
     journal = {Izvestiya. Mathematics },
     pages = {807--820},
     publisher = {mathdoc},
     volume = {11},
     number = {4},
     year = {1977},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1977_11_4_a5/}
}
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Dào Trong Thi. Minimal real currents on compact Riemannian manifolds. Izvestiya. Mathematics , Tome 11 (1977) no. 4, pp. 807-820. http://geodesic.mathdoc.fr/item/IM2_1977_11_4_a5/