The unitary connections on the complex Grassmann manifold

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	The unitary connections on the complex Grassmann manifold
	Lu, QK
	1998-12-01
发表期刊	SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
ISSN	1006-9283
卷号	41 期号:12 页码:1248-1254
摘要	In the complex Grassmann manifold F(m, n), the space of complex n-planes passes through the origin of Cm+n; the local coordinate of the space can be arranged into an m x n matrix Z. It is proved that K = K(Z, dZ) = (I + ZZ dagger)(-1/2)partial derivative(I + ZZ dagger)(1/2) - partial derivative(I + ZZ dagger)(1/2).(I + ZZ dagger)(-1/2) is a U(m)-connection of F(m, n) and its curvature form Omega(1) = dK + K boolean AND K satisfies the Yang-Mills equation. Moreover, B = B(Z,dZ) = K(Z,dZ)- tr(K(Z,dZ))/mI(m) is an SU(m)-connection and its curvature form Omega(2)= dB + B boolean AND B satisfies the Yang-Mills equation.
关键词	unitary connection Grassmann manifold
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000077573800003
出版者	SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/13470
专题	中国科学院数学与系统科学研究院
通讯作者	Lu, QK
作者单位	1.Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China 2.Shantou Univ, Math Inst, Shantou 515063, Peoples R China
推荐引用方式 GB/T 7714	Lu, QK. The unitary connections on the complex Grassmann manifold[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,1998,41(12):1248-1254.
APA	Lu, QK.(1998).The unitary connections on the complex Grassmann manifold.SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,41(12),1248-1254.
MLA	Lu, QK."The unitary connections on the complex Grassmann manifold".SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY 41.12(1998):1248-1254.