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On the singular set of harmonic maps into DM-complexes /
We prove that the singular set of a harmonic map from a smooth Riemannian domain to a Riemannian DM-complex is of Hausdorff codimension at least two. We also explore monotonicity formulas and an order gap theorem for approximately harmonic maps. These regularity results have applications to rigidity...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
2016.
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| Colección: | Memoirs of the American Mathematical Society,
no. 1129 |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Chapter 1. Introduction Chapter 2. Harmonic maps into NPC spaces and DM-complexes Chapter 3. Regular and Singular points Chapter 4. Metric estimates near a singular point Chapter 5. Assumptions Chapter 6. The Target Variation Chapter 7. Lower Order Bound Chapter 8. The Domain variation Chapter 9. Order Function Chapter 10. The Gap Theorem Chapter 11. Proof of Theorems \ref MAINTHEOREM-\ref GAPTHEOREM* Appendix A. Appendix 1 Appendix B. Appendix 2.