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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 |
| Sumario: | 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 problems examined in subsequent articles. |
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| Descripción Física: | 1 online resource |
| Bibliografía: | Includes bibliographical references. |
| ISBN: | 9781470427412 1470427419 9781470414603 1470414600 |
| ISSN: | 1947-6221 ; 0065-9266 |