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ON SEMI-SYMMETRIC METRIC CONNECTION IN SUB-RIEMANNIAN MANIFOLD
並列摘要
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,V_0, g , ∇) is locally horizontally flat if and only if M is horizontally conformally flat and horizontally Ricci flat.
延伸閱讀
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