*Department of Mathematics, H.N.B. Garhwal University (A central University), S.R.T. Campus Badshahithaul, Tehri Garhwal, Uttarakhand, India, E-mail: usnegi7@gmail.com
**Departments of Mathematics, H.N.B. Garhwal University (A central University), S.R.T. Campus Badshahithaul, Tehri Garhwal, Uttarakhand, India, E-mail: preetichauhan1011@gmail.com
Mathematics Subject Classification 2020: 53C15, 53C25, 53C55
Mantica and Molinari (2012) have considered Weakly Z-symmetric manifolds. Further, Mantica and Suh (2012) has defined and studied Pseudo Z-symmetric Riemannian manifolds with harmonic curvature tensors; on the closedness of some generalized curvature 2-form on a Riemannian manifold first and second order. In this paper, the authors establish an innovative kind of Riemannian manifolds that over simplify the concept of weakly Z-symmetric and pseudo-Z-symmetric manifolds with tensor structures and recurrent Z-forms in Riemannian manifolds.
Conformally recurrent, Conformally symmetric, Pseudo-Z-symmetric manifolds, Weakly Zsymmetric manifolds, Riemannian manifolds
