Killing tensor fields on the 2-torus

DOI10.1134/S0037446616010158zbMath1347.53033arXiv1411.4741MaRDI QIDQ299174

F. Blanchet-Sadri, M. Dambrine

Publication date: 22 June 2016

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.4741

zbMATH Keywords

Killing fieldstensor analysisintegrability of geodesic flowsmethod of spherical harmonics

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Geodesic flows in symplectic geometry and contact geometry (53D25)

Related Items

Efficient tensor tomography in Fan-beam coordinates ⋮ On symmetric Killing tensors and Codazzi tensors of ranks \(p \geq 2\) ⋮ On first integrals of geodesic flows on a two-torus ⋮ Codazzi and Killing tensors on a complete Riemannian manifold

Cites Work

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• Integral geometry for tensor fields. Transl. from the Russian
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• GEODESIC FLOWS ON TWO-DIMENSIONAL MANIFOLDS WITH AN ADDITIONAL FIRST INTEGRAL THAT IS POLYNOMIAL IN THE VELOCITIES
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