Yazar "Mert, Tugba" seçeneğine göre listele

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    A study on pseudoparallel submanifolds of generalized Lorentz-Sasakian forms
    (Univ Nis, Fac Sci Math, 2024) Pandey, Shashikant; Mert, Tugba; Atceken, Mehmet; Uygun, Pakize
    In 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.
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    Applications of the Tachibana operator on invariant submanifolds of Lorentzian Trans-Sasakian manifolds
    (Univ Nis, Fac Sci Math, 2025) Atceken, Mehmet; Mert, Tugba; Stankovic, Mica S.
    In the present paper, Tachibana operatory is applied to an invariant submanifold of a lorentzian trans-Sasakian manifold by means of through various tensors and the results obtained are discussed in terms of geometry. Finally, we give a non-trivial example in order to our results illustrate.
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    Constant Angle Spacelike Surface in de Sitter Space S-1(3)
    (SOC PARANAENSE MATEMATICA, 2017) Mert, Tugba; Karliga, Baki
    In this paper; using the angle between unit normal vector field of surfaces and a fixed spacelike axis in R-1(4), we develop two class of spacelike surface which are called constant timelike angle surfaces with timelike and spacelike axis in de Sitter space S-1(3). Moreover we give constant timelike angle tangent surfaces which are examples constant angle surfaces in de Sitter space S-1(3).
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    GENERALIZED SASAKIAN SPACE FORMS ON W0-CURVATURE TENSOR
    (Honam Mathematical Soc, 2023) Mert, Tugba; Atceken, Mehmet
    In this article, generalized Sasakian space forms are investi-gated on W0-curvature tensor. Characterizations of generalized Sasakian space forms are obtained on W0-curvature tensor. Special curvature con-ditions established with the help of Riemann, Ricci, concircular, projec-tive curvature tensors are discussed on W0-curvature tensor. With the help of these curvature conditions, important characterizations of gener-alized Sasakian space forms are obtained. In addition, the concepts of W0-pseudosymmetry and W0-Ricci pseudosymmetry are defined and the behavior according to these concepts for the generalized Sasakian space form is examined.
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    Invariant pseudoparallel submanifold of an SQ-Sasakian manifolds
    (Walter De Gruyter Gmbh, 2024) Atceken, Mehmet; Mert, Tugba; Uygun, Pakize
    The aim of the present paper is to study invariant pseudoparallel submanifolds in an SQ-Sasakian manifold with respect to semisymmetric metric connection. We search the necessary and sufficient conditions for an invariant submanifold to be totally geodesic under the some hypotheses.
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    On Fibonacci and Lucas Generalized Octonions
    (CHARLES BABBAGE RES CTR, 2018) Bilgici, Goksal; Unal, Zafer; Tokeser, Umit; Mert, Tugba
    We study on Fibonacci and Lucas generalized octonions over the algebra O(a, b, c) where a, b and c are real numbers. We obtain Binet formulas for the Fibonacci and Lucas generalized octonions. Also, we give many identities for these octonions including Catalan's identity, Cassini's identity and d'Ocagne's identity.
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    On Invariant Submanifolds of Lorentz Sasakian Space Forms
    (Islamic Azad Univ, Shiraz Branch, 2023) Mert, Tugba; Atceken, Mehmet; Uygun, Pakize
    In this article, invariant submanifolds of Lorentz-Sasakian space forms on the W-7- curvature tensor are investigated. For the W-7-curvature tensor, the pseudoparallel, 2-pseudoparallel, Ricci generalized pesudoparallel and 2-Ricci generalized pseudoparallel properties of the invariant submanifolds of the Lorentz-Sasakian space form are discussed.
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    On invariant submanifolds of normal paracontact metric manifolds on generalized B-curvature tensor
    (Univ Nis, Fac Sci Math, 2024) Mert, Tugba; Atcekenb, Mehmet
    In this article, pseudoparallel submanifolds for normal paracontact metric manifolds are studied. B -curvature tensor in a normal paracontact metric manifold has been considered. For an invariant submanifold of a paracontact metric manifold, B-pseudoparallel, B 2-pseudoparallel, B-Ricci generalized pseudoparallel, and B 2- Ricci generalized pseudoparallel has been searched. Also, characterizations of invariant submanifold types are given by means of quasi -conformal, Weyl-conformal, concircular, conharmonic curvature tensors for special cases of generalized B-curvature tensor.
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    On some important characterizations of Lorentz para-Kenmotsu manifolds on some special curvature tensors
    (World Scientific Publ Co Pte Ltd, 2024) Mert, Tugba; Atceken, Mehmet
    In this paper, some properties of Lorentz para-Kenmotsu manifolds are studied using specified curvature tensors. The Lorentz para-Kenmotsu manifold is investigated in terms of the curvature tensors W-8 and W-9. Initially, the tensor-based characterization of semisymmetric Lorentz para-Kenmotsu manifolds is studied. Subsequently, we consider the Lorentzian para-Kenmotsu manifold, which admits almost eta-Ricci solitons via these curvature tensors. According to the W-8 and W-9 curvature tensors, Ricci pseudosymmetry notions of Lorentzian para-Kenmotsu manifolds accepting eta-Ricci soliton have been developed. Following that, required conditions for the Lorentzian para-Kenmotsu manifold, admitting eta-Ricci soliton to be Ricci semisymmetric, are presented based on the curvature tensors chosen. Further, various characterizations are provided, and classifications are made under certain conditions. Finally, the characterizations of the invariant submanifolds of Lorentz para-Kenmotsu manifold on the W(8 )and W-9 curvature tensors are investigated. We obtained the necessary and sufficient conditions for an invariant submanifold of a para-Kenmotsu to be W-8 and W-9 pseudoparallel.
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    Pseudosymmetric Almost α-Cosymplectic (κ, μ, v)-Spaces Admitting Einstein Solitons
    (Rgn Publ, 2024) Atceken, Mehmet; Mert, Tugba; Uygun, Pakize
    This paper attempts to characterize cases of an almost alpha alpha-cosymplectic (kappa, mu, nu)-space admitting Einstein sloitons to be concircular Ricci pseudosymmetry, projective Ricci pseudosymmetry, W-1-curvature and the W-2-curvature Ricci pseudo symmetric.
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    SOME RESULTS ON PSEUDOSYMMETRIC NORMAL PARACONTACT METRIC MANIFOLDS
    (Ankara Univ, Fac Sci, 2022) Atceken, Mehmet; Mert, Tugba
    In this article, the M-projective and Weyl curvature tensors on a normal paracontact metric manifold are discussed. For normal paracontact metric manifolds, pseudosymmetric cases are investigated and some interest-ing results are obtained. We show that a semisymmetric normal paracontact manifold is of constant sectional curvature. We also obtain that a pseudosym-metric normal paracontact metric manifold is an eta-Einstein manifold. Finally, we support our topic with an example.