Joachimsthal Submanifolds with Constant Sectional Curvature

• Grant number: 24/21631-3
• Support Opportunities: Scholarships abroad - Research Internship - Doctorate
• Start date: September 01, 2025
• End date: August 31, 2026
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Ruy Tojeiro de Figueiredo Junior
• Grantee: Alan Sousa França
• Supervisor: Joeri Van Der Veken
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Institution abroad: University of Leuven, Leuven (KU Leuven), Belgium
• Associated to the scholarship: 22/16298-8 - Enneper Submanifolds of Constant Sectional Curvature, BP.DR

Abstract

This research project investigates a generalization of Joachimsthal surfaces in higher dimensions and codimensions, specifically targeting those with constant sectional curvature. By generalizing Joachimsthal surfaces, we also aim to address whether Enneper surfaces in higher dimensions with nonzero constant sectional curvature necessarily fall within this subclass, which is known to be true in the two-dimensional case.