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Differential geometry and applications

Grant number: 17/21283-1
Support Opportunities:Scholarships in Brazil - Scientific Initiation
Effective date (Start): November 01, 2017
Effective date (End): October 31, 2018
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal Investigator:Irene Ignazia Onnis
Grantee:Vinicius Meirelles Partel
Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil


This project of scientific initiation proposes to introduce the student to the Differential Geometry through the study of some interesting topics of the local theory of curves and surfaces in the three-dimensional Euclidean space, which are important tools for modeling problems in different areas as Biology, Statistics, Physics and Engineering.In particular, as applications of the topics studied to Civil Engineering, we will see the use of the catenary arc by Robert Maillart in the construction of the bridges and also, how the engineer Otto Frei could bring to reality the forms of the soap films (which are physical models of minimal surfaces) to realize light, stable, luminous and low cost covering. (AU)

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