Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2015, Number 6, Pages 45–48 (Mi vmumm282)  
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Realizability of singular levels of Morse functions as unions of geodesies

I. N. Shnurnikov

National Research University Higher School of Economics, Moscow
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Abstract: 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.
Key words: 2-atom, closed geodesics, metric of constant curvature.
Received: 06.10.2014
English version:
Moscow University Mathematics Bulletin, 2015, Volume 70, Issue 6, Pages 270–273
DOI: https://doi.org/10.3103/S0027132215060066
Bibliographic databases:
Document Type: Article
UDC: 514.774.8
Language: Russian
Citation: I. N. Shnurnikov, “Realizability of singular levels of Morse functions as unions of geodesies”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2015, no. 6, 45–48; Moscow University Mathematics Bulletin, 70:6 (2015), 270–273
Citation in format AMSBIB
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