On the Singular Set of Harmonic Maps into Dm-complexes

Ebook Details


Georgios Daskalopoulos, Chikako Mese

Year 2016
Pages 89
Publisher Amer Mathematical Society
Language en
ISBN 9781470414603
File Size 684.31 KB
File Format PDF
Download Counter 97
Amazon Link

Ebook Description

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.