Tensors, Manifolds and Differential Geometry: applications in Mechanics and Relati...
Singularity theory and its applications to differential geometry, differential equ...
| Grant number: | 21/01817-7 |
| Support type: | Scholarships in Brazil - Scientific Initiation |
| Effective date (Start): | April 01, 2021 |
| Effective date (End): | December 31, 2021 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
| Principal researcher: | Raimundo Nonato Araújo dos Santos |
| Grantee: | Victor Zaher Cabral Cordeiro |
| Home Institution: | Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil |
| Associated research grant: | 19/21181-0 - New frontiers in Singularity Theory, AP.TEM |
Abstract In this project we will develop a study of differential forms and its main applications in the geometric/topological studies of differentiable manifolds based on the references "From Calculus to Cohomology" by Madsen and Tornehave, and "Differential Forms and Applications "by Manfredo P. do Carmo. In these references the authors have introduced the main techniques and theorems in aelementary and consistent way for a first approach of the theory and for an introductory view to De Rham Cohomology and its main applications. | |