357 citations
- University of MichiganUS6 papers
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- Institute of Radio AstronomyUA2 papers
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5 papers · 1 filter
Monodromy in the resonant swing spring
H. R. Dullin, A. Giacobbe, R. Cushman
This paper shows that an integrable approximation of the spring pendulum, when tuned to be in resonance, has monodromy. The stepwise precession angle of the swing plane of…
Boundary regularity for the Ricci equation, geometric convergence, and Gel'fand's inverse boundary problem
Michael T. Anderson, Atsushi Katsuda, Yaroslav Kurylev +2
This paper explores and ties together three themes. The first is to establish regularity of a metric tensor, on a manifold with boundary, on which there are given Ricci curvature b…
Projective differential geometry of higher reductions of the two-dimensional Dirac equation
L. V. Bogdanov, E. V. Ferapontov
We investigate reductions of the two-dimensional Dirac equation imposed by the requirement of the existence of a differential operator of order mapping its eigenfunctions…
Decomposition of higher order equations of Monge-Ampere type
E. V. Ferapontov
Given a function f(x, t), its fourth (symmetric) differential is a quartic form in dx, dt. It is well-known that any quartic form in two variables can be represented as a sum of th…
Hypersurfaces with flat centroaffine metric and equations of associativity
E. V. Ferapontov
It is demonstrated that hypersurfaces with a flat centroaffine metric are governed by a system of nonlinear PDEs known as the equations of associativity of 2-dimensional topologica…