Enneper Submanifolds of Constant Sectional Curvature

• Grant number: 22/16298-8
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: March 01, 2023
• End date: February 28, 2027
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Ruy Tojeiro de Figueiredo Junior
• Grantee: Alan Sousa França
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated research grant: 16/23746-6 - Algebraic, topological and analytical techniques in differential geometry and geometric analysis, AP.TEM
• Associated scholarship(s): 24/21631-3 - Joachimsthal Submanifolds with Constant Sectional Curvature, BE.EP.DR

Abstract

In this project, we intend to study holonomic submanifolds with flat normal bundle whose lines of curvature are contained in planes or spheres called Enneper submanifolds aiming the constant curvature ones.