Zoll and Tannery metrics from a superintegrable geodesic flow
classification
🧮 math-ph
math.DGmath.MPnlin.SI
keywords
metricstannerysuperintegrablezollcubicdefinedeitherflow
read the original abstract
We prove that for Matveev and Shevchishin superintegrable system, with a linear and a cubic integral, the metrics defined on S^2 and on Tannery's orbifold T^2 are either Zoll or Tannery metrics.
This paper has not been read by Pith yet.
Forward citations
Cited by 2 Pith papers
-
Generalized Fourier Transforms for Momentum-Space Construction on Riemannian Manifolds
A generalized Fourier transform is defined on any Riemannian manifold that satisfies a Parseval-Plancherel theorem and constructs unique momentum-space labels by resolving degeneracy with fiberwise maximal Abelian com...
-
Generalized Fourier Transforms for Momentum-Space Construction on Riemannian Manifolds
A generalized Fourier transform is constructed on Riemannian manifolds via Laplace-Beltrami spectral decomposition, degeneracy resolved by fiberwise maximal Abelian commuting sets from Killing or geometric operators, ...
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.