Integrable geodesic flow in 3D and webs of maximal rank

Autor(es)

Agafonov, Sergey I.

• Tipo de documento: Artigo Científico
• Fonte: ANALYSIS AND MATHEMATICAL PHYSICS; v. 14, n. 6, p. 21-pg., 2024-12-01.

Resumo

We characterize geodesic flows, admitting two commuting quadratic integrals with common principal directions, in terms of the geodesic 4-webs such that the tangents to the web leaves are common zero directions of the integrals. We prove that, under some natural geometric hypothesis, the metric is of St & auml;ckel type. (AU)

• Processo FAPESP: 22/12813-5 - Webs de posto positivo com geometria prescrita
• Beneficiário: Serguei Agafonov
• Modalidade de apoio: Auxílio à Pesquisa - Regular