Lipschitz geometry of foliations germs

• Grant number: 22/12906-3
• Support Opportunities: Regular Research Grants
• Start date: February 01, 2023
• End date: January 31, 2025
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Leandro Nery de Oliveira
• Grantee: Leandro Nery de Oliveira
• Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil

Abstract

The main objective of this project is to generalize to foliations the following result due to A. Fernandes and M. Ruas: Every family of analytic functions with fixed strong Lipschitz type is analytically trivial. For this purpose, we must consider the pullback of integrable holomorphic forms via bi-Lipschitz maps and study what kind of integration we obtain. (AU)