Geodesic
The quasiperiodic structure of level surfaces of a Morse 1-form close to a rational one – a problem of S. P. Novikov
Izvestiya. Mathematics, Tome 31 (1988) no. 3, pp. 635-655 
A. V. Zorich. The quasiperiodic structure of level surfaces of a Morse 1-form close to a rational one – a problem of S. P. Novikov. Izvestiya. Mathematics, Tome 31 (1988) no. 3, pp. 635-655. http://geodesic.mathdoc.fr/item/IM2_1988_31_3_a9/
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The topological structure is described of the level surfaces of a Morse 1-form which is close to a rational one on a closed oriented manifold. Applications are indicated to the investigation of the motion of an electron in a reciprocal lattice in a homogeneous magnetic field. Figures: 3. Bibliography: 11 titles.

[1] Novikov S. P., “Mnogoznachnye funktsii i funktsionaly. Analog teorii Morsa”, Dokl. AN SSSR, 260:1 (1981), 31–35 | MR | Zbl

[2] Novikov S. P., “Gamiltonov formalizm i mnogoznachnyi analog teorii Morsa”, Uspekhi matem. nauk, 37:5(227) (1982), 3–49 | MR | Zbl

[3] Novikov S. P., “Kriticheskie tochki i poverkhnosti urovnya mnogoznachnykh funktsii”, Tr. Matem. in-ta im. V. A. Steklova AN SSSR, 166, 1984, 201–209 | MR | Zbl

[4] Novikov S. P., Analog teorii Morsa dlya mnogoznachnykh funktsii. Nekotorye svoistva skobok Puassona; Р‘. Рђ. Дубровин, РЎ. Рџ. РќРѕРІРёРєРѕРІ, Рђ. Рў. ФомРμРЅРєРѕ, РЎРѕРІСЂРμРјРμнная РіРμРѕРјРμтрия. РњРμтоды С‚РμРѕСЂРёРё гомологии, Наука, Рњ., 1984 | MR

[5] Milnor Dzh., Teorema ob $h$-kobordizme, Mir, M., 1969 | MR

[6] Milnor Dzh., Teoriya Morsa, Mir, M., 1965 | MR

[7] Fomenko A. T., Differentsialnaya geometriya i topologiya. Dopolnitelnye glavy, Mosk. un-t, M., 1983

[8] Pontryagin L. S., Nepreryvnye gruppy, Nauka, M., 1973 | MR | Zbl

[9] Tom Rene, Nekotorye svoistva “v tselom” differentsiruemykh mnogoobrazii. Rassloennye prostranstva i ikh prilozheniya, IL, M., 1958

[10] Farber M. Sh., “Tochnost neravenstv Novikova”, Funkts. analiz, 19:1 (1985), 49–60 | MR

[11] Zorich A. V., “Zadacha S. P. Novikova o poluklassicheskom dvizhenii elektrona v odnorodnom magnitnom pole, blizkom k ratsionalnomu”, Uspekhi matem. nauk, 39:5(239) (1984), 235–236 | MR | Zbl