On the singular set of harmonic maps into DM-complexes
We prove that the singular set of a harmonic map from a smooth Riemannian domain to a Riemannian DM-complex is of Hausdorff codimension at least two. We 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.
Read More ↓Title Statements
- Full title :On the singular set of harmonic maps into DM-complexes / Georgios Daskalopoulos, Chikako Mese.
Summary
We prove that the singular set of a harmonic map from a smooth Riemannian domain to a Riemannian DM-complex is of Hausdorff codimension at least two. We 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.
Read More ↓Edition Statements
- Publication Date:©2015
Publication Statements
- Publisher(s):American mathematical Society
- Place of Publication:Providence, Rhode Island
- Language:eng
- Publication Date:©2015
Notes
"Published electronically: June 4, 2015"--HTML page.
"Volume 239, number 1129 (first of 6 numbers), January 2016."
The Physical Object
- Description:1 online resource (v, 89 pages)
Edition Identifiers
- ISBN:9781470427412, 1470427419
- oclc:ocn932052617
- LC Classification:QA614.73
- Dewey Decimal:514/.74
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