Bubble tree convergence for the harmonic sequence of harmonic surfaces in ..n

Authors
Mo, Xiao Huan Sun, Fang
Citation
Mo, Xiao Huan et Sun, Fang, Bubble tree convergence for the harmonic sequence of harmonic surfaces in ..n, Acta mathematica Sinica. English series (Print) , 26(7), 2010, pp. 1277-1286
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
26
Issue
7
Year of publication
2010
Pages
1277 - 1286
Database
ACNP
SICI code
Abstract
We show that any harmonic sequence determined by a harmonic map from a compact Riemannian surface M to ..n has a terminating holomorphic (or anti-holomorphic) map from M to ..n, or a .bubble tree limit. consisting of a harmonic map f^: M . ..n and a tree of bubbles h µ. : S 2 . ..n.