Geodesic Webs and PDE Systems of Euler Equations

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dc.creatorGoldberg, Vladislav V.
dc.creatorLychagin, Valentin V.
dc.date2008-10-30
dc.date.accessioned2026-07-07T10:14:08Z
dc.date.available2026-07-07T10:14:08Z
dc.descriptionWe find necessary and sufficient conditions for the foliation defined by level sets of a function f(x_{1},...,x_{n}) to be totally geodesic in a torsion-free connection and apply them to find the conditions for d-webs of hypersurfaces to be geodesic, and in the case of flat connections, for d-webs (d > n) of hypersurfaces to be hyperplanar webs. These conditions are systems of generalized Euler equations, and for flat connections we give an explicit construction of their solutions.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/0810.5417
dc.identifierhttp://arxiv.org/abs/0810.5417
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172774
dc.subjectDifferential Geometry
dc.subject53A60
dc.titleGeodesic Webs and PDE Systems of Euler Equations
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