Non existence of quasi-harmonic spheres

doi:10.1007/s00526-009-0271-0

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	Non existence of quasi-harmonic spheres
	Li, Jiayu1,2 ; Zhu, Xiangrong 1
刊名	CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
	2010-03-01
卷号	37 期号:3-4 页码:441-460
ISSN号	0944-2669
DOI	10.1007/s00526-009-0271-0
英文摘要	Let M and N be compact Riemannian manifolds. To prove the global existence and convergence of the heat flow for harmonic maps between M and N, it suffices to show the nonexistence of harmonic spheres and nonexistence of quasi-harmonic spheres. In this paper, we prove that, if the universal covering of N admits a nonnegative strictly convex function with polynomial growth, then there are no quasi-harmonic spheres nor harmonic spheres. This generalizes the famous Eells-Sampson's theorem (Am J Math 86:109-169, [7]).
资助项目	NSFC
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER
WOS记录号	WOS:000274384500010
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/10827]
专题	数学所
通讯作者	Li, Jiayu
作者单位	1.Abdus Salam Int Ctr Theoret Phys, Math Grp, I-34100 Trieste, Italy 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Li, Jiayu,Zhu, Xiangrong. Non existence of quasi-harmonic spheres[J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS,2010,37(3-4):441-460.
APA	Li, Jiayu,&Zhu, Xiangrong.(2010).Non existence of quasi-harmonic spheres.CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS,37(3-4),441-460.
MLA	Li, Jiayu,et al."Non existence of quasi-harmonic spheres".CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 37.3-4(2010):441-460.