Abstract
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 an…