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On the Singular Set of Harmonic Maps Into DM-Complexes

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On the Singular Set of Harmonic Maps Into DM-Complexes Synopsis

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.

About This Edition

ISBN: 9781470414603
Publication date:
Author: Georgios Daskalopoulos, Chikako Mese
Publisher: American Mathematical Society
Format: Paperback
Pagination: 89 pages
Series: Memoirs of the American Mathematical Society
Genres: Geometry
Topology