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Öğe A study on pseudoparallel submanifolds of generalized Lorentz-Sasakian space forms(University of Nis, 2024) Pandey, Shashikant; Mert, Tuğba; Atçeken, Mehmet; Uygun, PakizeIn this article, pseudoparallel submanifolds for generalized Lorentz-Sasakian space forms are investigated. Submanifolds of these manifolds with properties such as pseudoparallel, 2-pseudoparallel, Ricci generalized pseudoparallel, and 2-Ricci generalized pseudoparallel have been investigated and the conditions under which these pseudoparallel submanifolds are totally geodesic are shown. In addition, necessary and sufficient conditions have been obtained for these submanifolds to be totally geodesic by means of the concircular, projective and quasi-conformally curvature tensors. At last, we provide an example for such manifold.Öğe (?, ?)-TYPE ALMOST ?-RICCI–YAMABE SOLITONS IN PERFECT FLUID SPACETIME(Comenius University in Bratislava, 2024) Pandey, Shashikant; Mert, Tuğba; Atçeken, MehmetIn this paper, we consider perfect fluid spacetime admitting (?, ?)-type almost ?-Ricci–Yamabe solitons by means of some curvature tensors. Ricci pseudosymmetry concepts of perfect fluid spacetime admitting (?, ?)-type almost ?-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 (?, ?)-type almost ?-Ricci–Yamabe soliton to be Ricci semisymmetric. Then, some important characterizations are given for Ricci, Yamabe, Einstein and ?-Einstein solitons on perfect fluid spacetime.Öğe α, β)-type almost η-Ricci-Yamabe solitions in perfect fluid spacetime(Comenius University in Bratislava, 2024) Pandey, Shashikant; Mert, Tuğba; Atçeken, MehmetIn this paper, we consider perfect fluid spacetime admitting (α, β)-type almost η-Ricci–Yamabe solitons by means of some curvature tensors. Ricci pseudosymmetry concepts of perfect fluid spacetime admitting (α, β)-type almost η-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 (α, β)-type almost η-Ricci–Yamabe soliton to be Ricci semisymmetric. Then, some important characterizations are given for Ricci, Yamabe, Einstein and η-Einstein solitons on perfect fluid spacetime.