1Department of Mathematics and Astronomy, University of Lucknow, India 2Department of Mathematics, University of Sivas Cumhuriyet, Sivas, Turkey 3Department of Mathematics, University of Aksaray, Aksaray, Turkey
Acta mathematica Universitatis Comenianae, Tome 93 (2024) no. 3, pp. 171-183
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Shashikant Pandey; Tugba Mert; Mehmet Atçeken; Shashikant Pandey; Tugba Mert; Mehmet Atçeken. $(\alpha,\beta)$-Type almost $\eta$-Ricci-Yamabe solitons in perfect fluid spacetime. Acta mathematica Universitatis Comenianae, Tome 93 (2024) no. 3, pp. 171-183. http://geodesic.mathdoc.fr/item/AMUC_2024_93_3_a3/
@article{AMUC_2024_93_3_a3,
author = {Shashikant Pandey and Tugba Mert and Mehmet At\c{c}eken and Shashikant Pandey and Tugba Mert and Mehmet At\c{c}eken},
title = { $(\alpha,\beta)${-Type} almost $\eta${-Ricci-Yamabe} solitons in perfect fluid spacetime},
journal = {Acta mathematica Universitatis Comenianae},
pages = {171--183},
year = {2024},
volume = {93},
number = {3},
url = {http://geodesic.mathdoc.fr/item/AMUC_2024_93_3_a3/}
}
TY - JOUR
AU - Shashikant Pandey
AU - Tugba Mert
AU - Mehmet Atçeken
AU - Shashikant Pandey
AU - Tugba Mert
AU - Mehmet Atçeken
TI - $(\alpha,\beta)$-Type almost $\eta$-Ricci-Yamabe solitons in perfect fluid spacetime
JO - Acta mathematica Universitatis Comenianae
PY - 2024
SP - 171
EP - 183
VL - 93
IS - 3
UR - http://geodesic.mathdoc.fr/item/AMUC_2024_93_3_a3/
ID - AMUC_2024_93_3_a3
ER -
%0 Journal Article
%A Shashikant Pandey
%A Tugba Mert
%A Mehmet Atçeken
%A Shashikant Pandey
%A Tugba Mert
%A Mehmet Atçeken
%T $(\alpha,\beta)$-Type almost $\eta$-Ricci-Yamabe solitons in perfect fluid spacetime
%J Acta mathematica Universitatis Comenianae
%D 2024
%P 171-183
%V 93
%N 3
%U http://geodesic.mathdoc.fr/item/AMUC_2024_93_3_a3/
%F AMUC_2024_93_3_a3
In this paper, we consider perfect fluid spacetime admitting $(\alpha,\beta)$-type almost $\eta$-Ricci--Yamabe solitons by means of some curvature tensors. Ricci pseudosymmetry concepts of perfect fluid spacetime admitting $(\alpha,\beta)$-type almost $\eta$-Ricci--Yamabe soliton are introduced according to the choice of some special curvature tensors such as Riemann, concircular and projective curvature tensor. After then, according to choosing of the curvature tensors, necessary conditions are given for perfect fluid spacetime admitting $(\alpha,\beta)$-type almost $\eta$-Ricci--Yamabe soliton to be Ricci semisymmetric. Then, some important characterizations are given for Ricci, Yamabe, Einstein and $\eta$-Einstein solitons on perfect fluid spacetime.
