Energy identity and necklessness for a sequence of Sacks Uhlenbeck maps to a sphere

doi:10.1016/j.anihpc.2018.04.002

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	Energy identity and necklessness for a sequence of Sacks Uhlenbeck maps to a sphere
	Li, Jiayu1,2 ; Zhu, Xiangrong 3
	2019
发表期刊	ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE
ISSN	0294-1449
卷号	36 期号:1 页码:103-118
摘要	Let u be a map from a Riemann surface M to a Riemannian manifold N and alpha > 1, the alpha energy functional is defined as E-alpha(u)= 1/2 integral[(l+vertical bar del u vertical bar(2))(alpha)-1]dV. We call u(alpha) a sequence of Sacks-Uhlenbeck maps if u(alpha) are critical points of E-alpha and sup(alpha>1)E(alpha)(u(alpha)) < infinity In this paper, we show the energy identity and necklessness for a sequence of Sacks Uhlenbeck maps during blowing up, if the target N is a sphere SK-1. The energy identity can be used to give an alternative proof of Perelman's result [15] that the Ricci flow from a compact orientable prime non-aspherical 3-dimensional manifold becomes extinct in finite time (cf. [3,4]). (C) 2018 Elsevier Masson SAS. All rights reserved.
关键词	Energy identity Sacks-Uhlenbeck map Harmonic sphere
DOI	10.1016/j.anihpc.2018.04.002
语种	英语
资助项目	NSFC[11131007] ; NSFC[11071236] ; NSFC[11471288] ; NSFC[11721101]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000456754200005
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/32353
专题	数学所
通讯作者	Li, Jiayu
作者单位	1.Univ Sci & Technol China, Coll Math Sci, Hefei 230026, Anhui, Peoples R China 2.Chinese Acad Sci, AMSS, Beijing 100190, Peoples R China 3.Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China
推荐引用方式 GB/T 7714	Li, Jiayu,Zhu, Xiangrong. Energy identity and necklessness for a sequence of Sacks Uhlenbeck maps to a sphere[J]. ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE,2019,36(1):103-118.
APA	Li, Jiayu,&Zhu, Xiangrong.(2019).Energy identity and necklessness for a sequence of Sacks Uhlenbeck maps to a sphere.ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE,36(1),103-118.
MLA	Li, Jiayu,et al."Energy identity and necklessness for a sequence of Sacks Uhlenbeck maps to a sphere".ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE 36.1(2019):103-118.