This article is cited in 9 papers

Directional differentiability of the distance function

S. I. Dudov


Abstract: In this paper we construct an invariant of integrable Hamiltonian systems with two degrees of freedom (the so-called st-molecule) enabling such systems to be classified on three-dimensional constant-energy surfaces up to orientation-preserving diffeomorphisms taking trajectories into trajectories.

UDC: 519.853.62

MSC: Primary 26B05; Secondary 49J52

Received: 21.12.1993

 English version: Sbornik: Mathematics, 1995, 186:3, 337–358

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