Gauss-Bonnet Theorem: curved geometry and the Euler characteristic

• Grant number: 12/21923-7
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: January 01, 2013
• End date: December 31, 2013
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Henrique Nogueira de Sá Earp
• Grantee: Vladmir Sicca Gonçalves
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

The goal of this project is to study the rigorous definition of the Euler characteristic while studying the basic concepts of differential geometry needed for the global understanding of the Gauss-Bonnet theorem.(AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

SA EARP, HENRIQUE N.; SICCA, VLADMIR; KYOTOKU, BERNARDO B. C.. Non-Euclidean Ideal Spectrometry. Brazilian Journal of Physics, v. 46, n. 6, p. 683-688, DEC 2016. (12/21923-7, 14/24727-0)