Geometry of Riemannian, semi-Riemannian varieties and actions of Lie groups
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Grant number: | 22/12813-5 |
Support Opportunities: | Regular Research Grants |
Duration: | March 01, 2023 - February 28, 2025 |
Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
Principal Investigator: | Serguei Agafonov |
Grantee: | Serguei Agafonov |
Host Institution: | Instituto de Biociências, Letras e Ciências Exatas (IBILCE). Universidade Estadual Paulista (UNESP). Campus de São José do Rio Preto. São José do Rio Preto , SP, Brazil |
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 and polynomial in velocity, the webs leaves being integral curves of the directions on which both integrals vanish. (AU)
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