@article{Ma2022, 
author = {Rongsheng Ma and Donghe Pei},
title = {∗-Ricci tensor on    (  κ  ,  μ  )-contact manifolds},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {7},
pages = {11519-11528},
keywords = {∗-Ricci flat, ∗-Ricci semi-symmetric, parallel ∗-Ricci operator, (κ, μ)-contact manifolds},
url = {https://www.sciopen.com/article/10.3934/math.2022642},
doi = {10.3934/math.2022642},
abstract = {We introduce the notion of semi-symmetric    ∗-Ricci tensor and illustrate that a non-Sasakian    (  κ  ,  μ  )-contact manifold is    ∗-Ricci semi-symmetric or has parallel    ∗-Ricci operator if and only if it is    ∗-Ricci flat. Then we find that among the non-Sasakian    (  κ  ,  μ  )-contact manifolds with the same Boeckx invariant        I    M  , only one is    ∗-Ricci flat, so we can think of it as the representative of such class. We also give two methods to construct    ∗-Ricci flat    (  κ  ,  μ  )-contact manifolds.}
}