ON SEMI-SYMMETRIC METRIC CONNECTION IN SUB-RIEMANNIAN MANIFOLD

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題名:	ON SEMI-SYMMETRIC METRIC CONNECTION IN SUB-RIEMANNIAN MANIFOLD
作者:	Han, Yanling;Fu, Fengyun;Zhao, Peibiao
關鍵詞:	Sub-Riemmannian manifolds;SS-connections;Horizontal curvature tensors
日期:	2016-12
上傳時間:	2017-01-17 09:06:55 (UTC+8)
出版者:	淡江大學出版中心
摘要:	The authors firstly in this paper define a semi-symmetric metric non-holonomic connection (in briefly, SS-connection) on sub-Riemannian manifolds. An invariant under a SS-connection transformation is obtained. The authors then further give a result that a sub-Riemannian manifold (M,V0,g,∇¯)(M,V0,g,∇¯) is locally horizontally flat if and only if MM is horizontally conformally flat and horizontally Ricci flat.
關聯:	Tamkang Journal of Mathematics 47(4), pp.373-384
DOI:	10.5556/j.tkjm.47.2016.1908
顯示於類別:	[淡江數學期刊] 第47卷第4期

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