Study of W3 curvature tensor on Lorentzian Para Kenmotsu manifolds
Abstract
The paper investigates W3 Curvature properties of Lorentzian Para Kenmotsu manifolds satisfying the following conditions, W3-flatness, ?-W3=0, W3-symmetric, W3—semi symmetric. The behaviors of Ricci operators on Lorentzian Para Kenmotsu manifolds under the condition W3.Q=0 and their results were discussed. Expressions for these curvature tensors while considering the condition W3 (?,X) are derived. W3-flatness and connections to Einstein,?-Einstein, and special ?- Einstein are investigated. These findings enhance our understanding of the geometric properties of Lorentzian Para Kenmotsu manifold in W3- curvature tensors.
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- Some Solitons on Anti-Invariant Submanifolds of Para-Sasakian Manifold Admitting Semi-Symmetric Non-Metric Connection ↗
Abhijit Mandal, Mustafa Yıldırım, Adel Mohammed Ali Al-Qashbari, Mohammad Nazrul Islam Khan · Symmetry · 2025
The objective of this study is to investigate ρ-Einstein solitons on submanifolds of a para-Sasakian manifold under certain curvature conditions. The novelty of this work lies in the characterization of ρ-Einstein solitons on anti-invariant submanifolds of a para-Sasakian manifold equipped with a semi-symmetric non-metric connection, where the structure vector field is taken as the potential vector field. We establish several…
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