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Webs of positive rank with prescribed geometry


This project proposes study of the web rank problem with the prescribed geometry of leaves. Will be investigated the following web types:1) geodesic webs in Riemannian manifolds of dimension three, 2) planar hexagonal 3-webs of circles, and 3) planar webs of conics with positive rank. Geodesic webs to be considered are constructed from 2 first integrals of geodesic flow, homogeneous and polynomial in velocity, the webs leaves being integral curves of the directions on which both integrals vanish. (AU)

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