P. M. Akhmet'ev, “Knot Invariants in Geodesic Flows”, Trudy Mat. Inst. Steklova, 2020, Volume 308,Pages <nobr>50

This article is cited in 1 paper

Knot Invariants in Geodesic Flows

P. M. Akhmet'ev^ab

^a HSE Tikhonov Moscow Institute of Electronics and Mathematics, Tallinskaya ul. 34, Moscow, 123458 Russia
^b Pushkov Institute of Terrestrial Magnetism, Ionosphere and Radio Wave Propagation, Russian Academy of Sciences, Kaluzhskoe sh. 4, Troitsk, Moscow, 108840 Russia

Abstract: The mean value of an asymptotic invariant of a knotted trajectory of a Ghys–Dehornoy geodesic flow is calculated. The result is important for investigating the magnetostatic equilibrium state of a magnetic field in a liquid conducting medium.

UDC: 517.958

Received: April 1, 2019
Revised: August 13, 2019
Accepted: November 5, 2019

DOI: 10.4213/tm4059