A Class of Non-Holonomic Projective Connections on Sub-Riemannian Manifolds

Yanling Han, Fengyun Fu, Peibiao Zhao


The authors define a semi-symmetric non-holonomic(SSNH)-projective connection on sub-Riemannian manifolds and find an invariant of the SSNH-projective transformation. The authors further derive that a sub-Riemannian manifold is of projective flat if and only if the Schouten curvature tensor of a special SSNH-connection is zero.

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