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Invariant and Anti-Invariant Submanifolds of Generalized Sasakian Space Forms
(Pleiades Publishing, 2024) Mert, T.; Pandey, S.; Atçeken, M.; De, U.C.
In this article, invariant and anti-invariant submanifolds of generalized Sasakian space forms are investigated. The important properties of such submanifolds are determined according to both Levi-Civita connection and semisymmetric metric connection. Characterizations of Ricci solitons have researched according to Levi-Civita connection and semisymmetric metric connection on invariant and anti-invariant submanifolds of generalized Sasakian space form.
Lorentz-Sasakian space forms on w0 ?curvature tensor
(Palestine Polytechnic University, 2024) Mert, T.; Atçeken, M.
In this article, Lorentz-Sasakian space forms on W0-curvature tensor are investigated. Riemann, Ricci, concircular, and projective curvature tensors are discussed for (2m + 1)dimensional Lorentz-Sasakian space forms, and with the help of these curvature tensors, some special curvature conditions established on the W0-curvature tensor are examined. Also, with the help of these curvature conditions, some properties of Lorentz-Sasakian space forms such as Einstein manifold, ?-Einstein manifold, and real space form have been obtained.