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

Abstract

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.