On k-folding map-germs and hidden symmetries of curves in the Euclidean plane

• Grant number: 21/02932-4
• Support Opportunities: Scholarships in Brazil - Master
• Start date: August 01, 2021
• End date: February 28, 2023
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Farid Tari
• Grantee: Amanda Dias Falqueto
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated research grant: 19/07316-0 - Singularity theory and its applications to differential geometry, differential equations and computer vision, AP.TEM

Abstract

The aim of this work is to study k-folding maps on curves in the Euclidean plane in an analogous way to our recent work in [arXiv:2102.06308v1] on surfaces in the Euclidean 3-space.

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

FALQUETO, Amanda Dias. On k-folding map-germs and hidden symmetries of curves in the euclidean plane.. 2023. Master's Dissertation - Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB) São Carlos.