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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Höhe: 254 mm
Breite: 178 mm
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ISBN-13
978-1-4704-1460-3 (9781470414603)
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Schweitzer Klassifikation
Georgios Daskalopoulos, Brown University, Providence, RI, USA.
Chikako Mese, Johns Hopkins University, Baltimore, MD, USA.
Introduction
Harmonic maps into NPC spaces and DM-complexes
Regular and singular points
Metric estimates near a singular point
Assumptions
The Target variation
Lower order bound
The Domain variation
Order function
The Gap Theorem
Proof of Theorems 1-4
Appendix A.
Appendix 1
Appendix B.
Appendix 2
Bibliography
