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On the Singular Set of Harmonic Maps into DM-Complexes
| eBook ISBN: | 978-1-4704-2741-2 |
| Product Code: | MEMO/239/1129.E |
| List Price: | $79.00 |
| MAA Member Price: | $71.10 |
| AMS Member Price: | $47.40 |
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On the Singular Set of Harmonic Maps into DM-Complexes
| eBook ISBN: | 978-1-4704-2741-2 |
| Product Code: | MEMO/239/1129.E |
| List Price: | $79.00 |
| MAA Member Price: | $71.10 |
| AMS Member Price: | $47.40 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 239; 2015; 89 ppMSC: Primary 53; 58
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.
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Table of Contents
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Chapters
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1. Introduction
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2. Harmonic maps into NPC spaces and DM-complexes
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3. Regular and Singular points
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4. Metric estimates near a singular point
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5. Assumptions
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6. The Target Variation
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7. Lower Order Bound
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8. The Domain variation
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9. Order Function
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10. The Gap Theorem
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11. Proof of Theorems –
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A. Appendix 1
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B. Appendix 2
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
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Volume: 239; 2015; 89 pp
MSC: Primary 53; 58
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.
-
Chapters
-
1. Introduction
-
2. Harmonic maps into NPC spaces and DM-complexes
-
3. Regular and Singular points
-
4. Metric estimates near a singular point
-
5. Assumptions
-
6. The Target Variation
-
7. Lower Order Bound
-
8. The Domain variation
-
9. Order Function
-
10. The Gap Theorem
-
11. Proof of Theorems –
-
A. Appendix 1
-
B. Appendix 2
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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