On the Singular Set of Harmonic Maps into DM-Complexes

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  • On the Singular Set of Harmonic Maps into DM-Complexes Book Detail

  • Author : Georgios Daskalopoulos
  • Release Date : 2016-01-25
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 102
  • ISBN 13 : 1470414600
  • File Size : 39,39 MB

On the Singular Set of Harmonic Maps into DM-Complexes by Georgios Daskalopoulos PDF Summary

Book 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.

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