Geometrical properties of quasi-conharmonic curvature tensor on a semi-Riemannian manifold

Authors

  • Bhagwat Prasad Department of Mathematics, S.M.M.Town(P.G.) College, Ballia-277001(U.P.), India Author
  • Umesh Singh Department of Mathematics, S.C.,College, Ballia-277001,Uttar Pradesh,India Author

DOI:

https://doi.org/10.21590/19knz216

Keywords:

Quasi-conformal curvature tensor ˜ C, quasi-conharmonic curvature tensor ˜H , pseudo-projective curvature tensor ˜ P, quasi-concircular curvature tensor, ˜L, pseudo-symmetric manifold.

Abstract


This paper examines the quasi-conharmonic curvature tensor ˜H which generalizes
the concept of a conharmonic curvature tensor. Initially, we acquire some geometrical
features. Subsequently, we examine pseudo quasi-conharmonic symmetric
manifolds. The Divergence-free quasi-conharmonic curvature tensor is derived from
the Gray’s decomposition. Additionally, we also examine the nature of Einstein
(PQ ˜H S)n, (n > 2),manifolds. Finally, we construct a non-trivial Lorentzian metric
of (PQ ˜H S)4.

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Published

2026-06-30

Issue

Vol. 17 No. 01 (2026): Journal of Progressive Science

Section

Articles