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Integrable geodesic flow in 3D and webs of maximal rank

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Author(s):
Agafonov, Sergey I.
Total Authors: 1
Document type: Journal article
Source: ANALYSIS AND MATHEMATICAL PHYSICS; v. 14, n. 6, p. 21-pg., 2024-12-01.
Abstract

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)

FAPESP's process: 22/12813-5 - Webs of positive rank with prescribed geometry
Grantee:Serguei Agafonov
Support Opportunities: Regular Research Grants