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arXiv · 1412.8727

Realizability of singular levels of Morse functions by unions of geodesics

I. Shnurnikov
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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.

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I. Shnurnikov. 2014-12-30. Realizability of singular levels of Morse functions by unions of geodesics. https://arxiv.org/abs/1412.8727

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