A special type of semi-symmetric non-metric connection on a Riemannian manifold

Authors

  • Siya Ram Department of Mathematics PT. DEEN DAYAL UPADHYAY GOVERMANT DEGREE COLLEGE,SAIDPUR, GHAZIPUR (U.P.) Author
  • Niraj Kumar Gupta Department of Mathematics PT. DEEN DAYAL UPADHYAY GOVERMANT DEGREE COLLEGE,SAIDPUR, GHAZIPUR (U.P.) Author

DOI:

https://doi.org/10.21590/6m7cx856

Keywords:

Riemannian manifold, semi-symmetric non-metric connection, curvature tensor, Ricci tensor, Einstein manifold, Killing vector field, Weyl projective curvature tensor.

Abstract


The aim of the present paper is to introduce a special type of connection on a Riemannian manifold. At first we prove the existence of such a connection and then we study some properties of curvature tensor and Weyl projective curvature tensor with respect to special type of semi-symmetric non-metric connection. Finally, a non-trivial example of this connection have been constructed.

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Published

2022-12-30

Issue

Vol. 13 No. 1 and 2 (2022): Journal of Progressive Science

Section

Articles