Geodesic
Nonselfintersecting closed extremals of multivalued or not everywhere positive functionals
Izvestiya. Mathematics , Tome 38 (1992) no. 2, pp. 359-374

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A proof is given for the theorem of Novikov and the author on the existence of a closed nonselfintersecting extremal for a single-valued functional corresponding to the motion of a charged particle in a strong magnetic field on a Riemannian manifold homeomorphic to the 2-sphere, and an analogue in the case of multivalued functionals is also proved. 
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     author = {I. A. Taimanov},
     title = {Nonselfintersecting closed extremals of multivalued or not everywhere positive functionals},
     journal = {Izvestiya. Mathematics },
     pages = {359--374},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1992_38_2_a6/}
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I. A. Taimanov. Nonselfintersecting closed extremals of multivalued or not everywhere positive functionals. Izvestiya. Mathematics , Tome 38 (1992) no. 2, pp. 359-374. http://geodesic.mathdoc.fr/item/IM2_1992_38_2_a6/