Geodesic Webs on a Two-Dimensional Manifold and Euler Equations

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dc.creatorGoldberg, Vladislav V.
dc.creatorLychagin, Valentin V.
dc.date2008-10-30
dc.date.accessioned2026-07-07T10:14:07Z
dc.date.available2026-07-07T10:14:07Z
dc.descriptionWe prove that any planar 4-web defines a unique projective structure in the plane in such a way that the leaves of the foliations are geodesics of this projective structure. We also find conditions for the projective structure mentioned above to contain an affine symmetric connection, and conditions for a planar 4-web to be equivalent to a geodesic 4-web on an affine symmetric surface. Similar results are obtained for planar d-webs, d > 4, provided that additional d-4 second-order invariants vanish.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/0810.5392
dc.identifierhttp://arxiv.org/abs/0810.5392
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172768
dc.subjectDifferential Geometry
dc.subject53A60
dc.titleGeodesic Webs on a Two-Dimensional Manifold and Euler Equations
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