Proves Kiyohara's 2001 metrics with arbitrary high-degree polynomial integrals are not superintegrable, solving two Bolsinov-Kozlov-Fomenko conjectures via a new theorem on Poisson brackets of integrals.
Geodesic flows on two-dimensional manifolds with an additional first integral that is polynomial with respect to veloci- ties
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
nlin.SI 1years
2025 1verdicts
ACCEPT 1representative citing papers
citing papers explorer
-
Real-analyticity of 2-dimensional superintegrable metrics and solution of two Bolsinov-Kozlov-Fomenko conjectures
Proves Kiyohara's 2001 metrics with arbitrary high-degree polynomial integrals are not superintegrable, solving two Bolsinov-Kozlov-Fomenko conjectures via a new theorem on Poisson brackets of integrals.