On the singular set of harmonic maps into DM-complexes

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...

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Detalles Bibliográficos
Autores principales: Daskalopoulos, Georgios, Mese, Chikako
Lenguaje:eng
Publicado: American Mathematical Society 2016
Materias:
Mathematical Physics and Mathematics
Acceso en línea:http://cds.cern.ch/record/2622889
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author Daskalopoulos, Georgios
Mese, Chikako
author_facet Daskalopoulos, Georgios
Mese, Chikako
author_sort Daskalopoulos, Georgios
collection CERN
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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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2016
publisher American Mathematical Society
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spelling cern-26228892021-04-21T18:48:15Zhttp://cds.cern.ch/record/2622889engDaskalopoulos, GeorgiosMese, ChikakoOn the singular set of harmonic maps into DM-complexesMathematical Physics and MathematicsThe 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.American Mathematical Societyoai:cds.cern.ch:26228892016
spellingShingle Mathematical Physics and Mathematics
Daskalopoulos, Georgios
Mese, Chikako
On the singular set of harmonic maps into DM-complexes
title On the singular set of harmonic maps into DM-complexes
title_full On the singular set of harmonic maps into DM-complexes
title_fullStr On the singular set of harmonic maps into DM-complexes
title_full_unstemmed On the singular set of harmonic maps into DM-complexes
title_short On the singular set of harmonic maps into DM-complexes
title_sort on the singular set of harmonic maps into dm-complexes
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/2622889
work_keys_str_mv AT daskalopoulosgeorgios onthesingularsetofharmonicmapsintodmcomplexes
AT mesechikako onthesingularsetofharmonicmapsintodmcomplexes

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