Geodesic
Realizability of singular levels of Morse functions as unions of geodesies
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2015), pp. 45-48

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We list special graphs of degree 4 with at most 3 vertices (atoms from the theory of integrable Hamiltonian systems) which could be represented by a union of closed geodesics on the one of the following surfaces with metric of constant curvature: sphere, projective plane, torus, Klein bottle. 
@article{VMUMM_2015_6_a7,
     author = {I. N. Shnurnikov},
     title = {Realizability of singular levels of {Morse} functions as unions of geodesies},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {45--48},
     publisher = {mathdoc},
     number = {6},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2015_6_a7/}
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I. N. Shnurnikov. Realizability of singular levels of Morse functions as unions of geodesies. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2015), pp. 45-48. http://geodesic.mathdoc.fr/item/VMUMM_2015_6_a7/