Download or read book On the Singular Set of Harmonic Maps into DM-Complexes written by Georgios Daskalopoulos and published by American Mathematical Soc.. This book was released on 2016-01-25 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.