Elliptic special Weingarten surfaces of minimal type in the homogeneous space E(k,t)

• Grant number: 22/14381-5
• Support Opportunities: Scholarships abroad - Research Internship - Master's degree
• Start date: January 30, 2023
• End date: July 29, 2023
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Fernando Manfio
• Grantee: Aires Eduardo Menani Barbieri
• Supervisor: José Antonio Gálvez López
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Institution abroad: Universidad de Granada (UGR), Spain
• Associated to the scholarship: 21/05766-8 - Complete surfaces in homogeneous spaces with constant mean curvature, BP.MS

Abstract

Elliptic special Weingarten surfaces had an outgrowth in the 90's thanks to the work of Rosenberg and Sa Earp, where they proved that this family satisfies the maximum principle, interior and boundary. The goal of this project is to study elliptic special Weingarten surfaces of minimal type and finite total curvature in the 3-dimensional homogeneous spaces with isometry group of dimension 4, extending the work by Espinar and Mesa. (AU)