Yazar "Acet, Bilal Eftal" seçeneğine göre listele

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    On Lightlike Geometry of Para-Sasakian Manifolds
    (Hindawi Publishing Corporation, 2014) Acet, Bilal Eftal; Perktas, Selcen Yuksel; Kilic, Erol
    We study lightlike hypersurfaces of para-Sasakian manifolds tangent to the characteristic vector field. In particular, we define invariant lightlike hypersurfaces and screen semi-invariant lightlike hypersurfaces, respectively, and give examples. Integrability conditions for the distributions on a screen semi-invariant lightlike hypersurface of para-Sasakian manifolds are investigated. We obtain a para-Sasakian structure on the leaves of an integrable distribution of a screen semi-invariant lightlike hypersurface.
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    Para-sasakıan manifoldların altmanifoldları
    (İnönü Üniversitesi, 2014) Acet, Bilal Eftal
    Doktora tezi olarak haz rlanan bu cal sma u c b ol umden olu smaktad r. Birinci b ol um di ger b ol umlerin daha iyi anla s labilmesi i cin temel kavramlara ayr ld . Di ger b ol umler ise tezin orjinal k s mlar d r. Birinci b ol umde yar -Riemann manifoldlar, yar -Riemann manifoldlar n lightlike hipery uzeyleri ve lightlike altmanifoldlar ile birlikte hemen hemen parakontakt manifoldlar ele al nd . _Ikinci b ol umde para-Sasakian manifoldlar n non-dejenere altmanifoldlar cal s ld . Bu b ol umde ilk olarak para-Sasakian manifodlar n invaryant altmanifoldlar n n semiparalel ve 2-semi-paralel olmas i cin gerek ve yeter sartlar elde edildi. Daha sonra bir para-Sasakian manifoldun semi-invaryant altmanifoldlar tan t larak ornekler verildi. Son olarak semi-invaryant altmanifold uzerindeki baz distrib usyonlar n integrallenebilir olma sartlar incelendi. U c unc u b ol um para-Sasakian manifoldlar n lightlike altmanifoldlar na ayr ld . Oncelikle para-Sasakian manifoldlar n lightlike hipery uzeyleri cal s ld . Daha sonra para-Sasakian manifodlar n invaryant ve screen semi-invaryant lightlike hipery uzeyleri tan t larak bu alt manifoldlara ornekler verildi. Ayr ca bir para-Sasakian uzay formun screen semi-invaryant lightlike hipery uzeyleri ile ilgili karekterizasyonlar elde edilidi. Bu b ol umde son olarak para-Sasakian manifoldlar n invaryant, parakontakt CR-lightlike ve radikal transversal lightlike altmanifoldlar incelendi.
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    Some characterizations on indefinite space forms admitting almost contact structures
    (World Scientific Publ Co Pte Ltd, 2023) Acet, Bilal Eftal; Gulbahar, Mehmet; Kilic, Erol
    In this paper, the projective curvature tensor field of a generalized indefinite Sasakian space form is investigated. Some results dealing with projectively semi-symmetric and phi-projectively semi-symmetric generalized indefinite Sasakian space forms are obtained. Furthermore, biharmonic Legendre Frenet curves are discussed on these manifolds.
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    SOME TYPES OF SLANT SUBMANIFOLDS OF BRONZE RIEMANNIAN MANIFOLDS
    (Korean Soc Mathematical Education, 2022) Acet, Bilal Eftal; Acet, Tuba
    The aim of this article is to examine some types of slant submanifolds of bronze Riemannian manifolds. We introduce hemi-slant submanifolds of a bronze Riemannian manifold. We obtain integrability conditions for the distribution involved in quasi hemi-slant submanifold of a bronze Riemannian manifold. Also, we give some examples about this type submanifolds.