Positive mass theorems for higher dimensional Lorentzian manifolds

doi:10.1063/1.2830803

CSpace > 应用数学研究所

	Positive mass theorems for higher dimensional Lorentzian manifolds
	Ding, Lu
	2008-02-01
发表期刊	JOURNAL OF MATHEMATICAL PHYSICS
ISSN	0022-2488
卷号	49 期号:2 页码:12
摘要	We extend Witten's proof ["A new proof of the positive energy theorem," Commun. Math. Phys. 80, 381-402 (1981)] of the positive mass theorem to a rigorous proof for Lorentzian manifolds of any dimension. This includes the original higher-dimensional positive mass theorem proved by spinors [Parker, T. and Taubes, C., "On Witten's proof of the positive energy theorem," Commun. Math. Phys. 84, 223-238 (1982)] for dimension 4 and [Zhang, X., "Positive mass conjecture for five-dimensional Lorentzian manifolds," J. Math. Phys. 40, 3540-3552 (1999)] for dimension 5. Stimulated by the article of Zhang ["Positive mass theorem for hypersurface in 5-dimensional Lorentzian manifolds," Commun. Anal. Geom. 8, 635-652 (2000)], we weaken the spin condition on the spacelike hypersurface to require only a spin(c) structure and give a modified positive mass theorem for Lorentzian manifolds for dimensions 4, 5, and 6. (C) 2008 American Institute of Physics.
DOI	10.1063/1.2830803
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Mathematical
WOS记录号	WOS:000254082000016
出版者	AMER INST PHYSICS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/6437
专题	应用数学研究所
通讯作者	Ding, Lu
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Ding, Lu. Positive mass theorems for higher dimensional Lorentzian manifolds[J]. JOURNAL OF MATHEMATICAL PHYSICS,2008,49(2):12.
APA	Ding, Lu.(2008).Positive mass theorems for higher dimensional Lorentzian manifolds.JOURNAL OF MATHEMATICAL PHYSICS,49(2),12.
MLA	Ding, Lu."Positive mass theorems for higher dimensional Lorentzian manifolds".JOURNAL OF MATHEMATICAL PHYSICS 49.2(2008):12.