On the singular set of harmonic maps into DM-complexes
著者
書誌事項
On the singular set of harmonic maps into DM-complexes
（Memoirs of the American Mathematical Society, no. 1129）
American Mathematical Society, [2016], c2015
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注記
"January 2016, volume 239, number 1129 (first of 6 numbers)."
Includes bibliographical references
内容説明・目次
内容説明
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.
目次
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
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