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OverviewThe 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. Full Product DetailsAuthor: Georgios Daskalopoulos , Chikako MesePublisher: American Mathematical Society Imprint: American Mathematical Society Weight: 0.164kg ISBN: 9781470414603ISBN 10: 1470414600 Pages: 89 Publication Date: 30 January 2016 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Out of stock  The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of ContentsIntroduction 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 BibliographyReviewsAuthor InformationGeorgios Daskalopoulos, Brown University, Providence, RI, USA. Chikako Mese, Johns Hopkins University, Baltimore, MD, USA. Tab Content 6Author Website:Countries AvailableAll regions |
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