ON M-PROJECTIVE CURVATURE TENSOR OF PARA-KENMOTSU MANIFOLDS ADMITTING ZAMKOVOY CONNECTION

  • Swati Sharma Department of Mathematics, A. P. S. University, Rewa - 486003, Madhya Pradesh, INDIA
  • Mayank Pandey Department of Mathematics, A. P. S. University, Rewa - 486003, Madhya Pradesh, INDIA
  • Giteshwari Pandey Department of Mathematics, Govt. Tulsi College, Anuppur - 484224, (M. P.), INDIA
  • R. N. Singh Department of Mathematics, A. P. S. University, Rewa - 486003, Madhya Pradesh, INDIA
Keywords: Para-Kenmotsu manifold, M-projective curvature tensor, Zamkovoy connection, Quasi M-projectively flat, φ− M-projectively flat, Bianchi’s identity

Abstract

In this paper, relation between curvature tensors of Levi-Civita connection and Zamkovoy connection on para-Kenmotsu manifolds have been obtained.Quasi M-projectively flat, M-projectively flat and φ-M-projectively flat paraKenmotsu manifolds admitting Zamkovoy connection have been studied. Also, para-Kenmotsu manifolds admitting Zamkovoy connction satisfying M¯ (ξ, U).R¯ = 0 and M¯ (ξ, U).S¯ = 0 have been developed

Published
2022-09-24