$\eta$-RICCI SOLITONS AND GRADIENT RICCI SOLITONS ON $\delta$- LORENTZIAN TRANS-SASAKIAN MANIFOLDS

Mohd Danish Siddiqi, Mehmet Akif Akyol

DOI Number
https://doi.org/10.22190/FUMI201010039S
First page
529
Last page
545

Abstract


The objective of the present research article is to study the $\delta$-Lorentzian trans-Sasakian manifolds conceding the $\eta$-Ricci solitons and gradient Ricci soliton. We shown that a symmetric second order covariant tensor in a $\delta$-Lorentzian trans-Sasakian manifold is a constant multiple of metric tensor. Also, we furnish an example of $\eta$-Ricci soliton on 3-diemsional $\delta$-Lorentzian trans-Sasakian manifold is provide in the region where $\delta$-Lorentzian trans-Sasakian manifold is expanding. Furthermore, we discuss some results based on gradient Ricci solitons on $3$-dimensional $\delta$- Lorentzian trans-Sasakian manifold.

Keywords

$\eta$-Ricci Soliton, Gradient Ricci Soliton, $\delta$-Lotentzian trans-Sasakian manifolds, Einstein manifolds

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References


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DOI: https://doi.org/10.22190/FUMI201010039S

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