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.
Killing tensors in spaces of constant curva- ture
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
representative citing papers
Killing tensors on products of Riemannian manifolds with one compact factor are reducible sums of factor tensors.
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.
-
Killing tensors on reducible spaces
Killing tensors on products of Riemannian manifolds with one compact factor are reducible sums of factor tensors.