Moving frames and exterior differential systems

• Grant number: 17/08206-8
• Support Opportunities: Scholarships in Brazil - Master
• Effective date (Start): October 01, 2017
• Effective date (End): July 31, 2019
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Claudio Gorodski
• Grantee: Carlos Henrique Silva Alcantara
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

The project is a study of moving frames and exterior differential systems, including some aspects of Cartan-Kähler theory, by supervised reading, discussions and expositions about Robert Bryant's class notes and the article A simple intrinsic proof of the Gauss-Bonnet formula for closed Riemannian manifolds of S.-S. Chern, supported by the book Cartan for Beginners: Differential Geometry via Moving Frames and Exterior Differential Systems, of T. Ivey and J. Landsberg. (AU)

Academic Publications

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

ALCANTARA, Carlos Henrique Silva. Moving frames and exterior differential systtems.. 2019. Master's Dissertation - Universidade de São Paulo (USP). Instituto de Matemática e Estatística (IME/SBI) São Paulo.