Cargando…
The Pullback Equation for Differential Forms
An important question in geometry and analysis is to know when two k-forms f and g are equivalent through a change of variables. The problem is therefore to find a map φ so that it satisfies the pullback equation: φ*(g) = f. In more physical terms, the question under consideration can be seen as a...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Boston, MA :
Birkhäuser Boston : Imprint: Birkhäuser,
2012.
|
| Edición: | 1st ed. 2012. |
| Colección: | Progress in Nonlinear Differential Equations and Their Applications,
83 |
| Temas: | |
| Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- Introduction
- Part I Exterior and Differential Forms
- Exterior Forms and the Notion of Divisibility
- Differential Forms
- Dimension Reduction
- Part II Hodge-Morrey Decomposition and Poincaré Lemma
- An Identity Involving Exterior Derivatives and Gaffney Inequality
- The Hodge-Morrey Decomposition
- First-Order Elliptic Systems of Cauchy-Riemann Type
- Poincaré Lemma
- The Equation div u = f
- Part III The Case k = n
- The Case f × g > 0
- The Case Without Sign Hypothesis on f
- Part IV The Case 0 ≤ k ≤ n-1
- General Considerations on the Flow Method
- The Cases k = 0 and k = 1
- The Case k = 2
- The Case 3 ≤ k ≤ n-1
- Part V Hölder Spaces
- Hölder Continuous Functions
- Part VI Appendix
- Necessary Conditions
- An Abstract Fixed Point Theorem
- Degree Theory
- References
- Further Reading
- Notations
- Index. .