On the Singular Set of Harmonic Maps into DM-Complexes |
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| Author:
| Daskalopoulos, Georgios
Mese, Chikako |
| Series title: | Memoirs of the American Mathematical Society Ser. |
| ISBN: | 978-1-4704-1460-3 |
| Publication Date: | Jan 2016 |
| Publisher: | American Mathematical Society
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| Book Format: | Paperback |
| List Price: | AUD $112.00 |
Book Description:
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The authors prove that the singular set of a harmonic map from a smooth Riemammian domain to a Riemannian DM-complex is of Hausdorff codimension at least two. They 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.
The authors prove that the singular set of a harmonic map from a smooth Riemammian domain to a Riemannian DM-complex is of Hausdorff codimension at least two. They 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.