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Bifurcation of minimal surfaces and the first eigenvalue of the Laplacian

Grant number: 21/09650-4
Support type:Scholarships abroad - Research Internship - Post-doctor
Effective date (Start): November 01, 2021
Effective date (End): October 29, 2022
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal researcher:Marcos Martins Alexandrino da Silva
Grantee:Eduardo Rosinato Longa
Supervisor abroad: Joaquin Perez Muñoz
Home Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
Research place: Universidad de Granada (UGR), Spain  
Associated to the scholarship:21/03599-7 - From geometric analysis to bifurcation, BP.PD

Abstract

We intend to apply the techniques of bifurcation theory to prove local and global results concerning the existence of bifurcation minimal tori in Riemannian 3-manifolds which are products of a fixed closed surface and a circle of variable radius. Moreover, we will address the problems of giving examples and possibly characterising extremal domains and surfaces for the first eigenvalue of the Laplacian.

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