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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


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)

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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.

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