Zoll families of minimal hypersurfaces on the compact rank-one symmetric spaces (CROSSes)

• Grant number: 25/05348-2
• Support Opportunities: Scholarships abroad - Research Internship - Post-doctor
• Start date: September 22, 2025
• End date: September 21, 2026
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Ruy Tojeiro de Figueiredo Junior
• Grantee: Diego Alonso Navarro Guajardo
• Supervisor: Andre Neves
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Institution abroad: University of Chicago, United States
• Associated to the scholarship: 24/03493-2 - On isometric rigidity, BP.PD

Abstract

This project corresponds to a BEPE proposal associated to the postdoctoral scholarship of FAPESP with process number 2024/03493-2. The subject of this project lies in the domain of Differential Geometry, mainly with the subarea of Geometric Analysis. To be more precise, we will study a slightly modified notion of a Zoll family of minimal hypersurfaces. This new notion has the benefit that all the compact rank one symmetric spaces (i.e., the so-called CROSSes) contain such a family in a natural and unifying way.