REMOVABILITY OF THE SINGULAR SET OF THE HEAT-FLOW OF HARMONIC MAPS

Authors
CHEN YM FLAMINIO L
Citation
Ym. Chen et L. Flaminio, REMOVABILITY OF THE SINGULAR SET OF THE HEAT-FLOW OF HARMONIC MAPS, Proceedings of the American Mathematical Society, 124(2), 1996, pp. 513-525
Citations number
13
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
124
Issue
2
Year of publication
1996
Pages
513 - 525
Database
ISI
SICI code
0002-9939(1996)124:2<513:ROTSSO>2.0.ZU;2-P
Abstract
We show that the singular set of a weak stationary solution u of the h eat flow of harmonic maps between Riemannian manifolds M and N, with N compact, is removable if it has ''parabolic codimension'' greater tha n two and the initial energy E(u(0)) is sufficiently small.