Yazar "Ozkan, Mustafa" seçeneğine göre listele

Listeleniyor 1 - 4 / 4
  • Küçük Resim Yok
    Öğe
    Cotton Solitons on Three Dimensional Almost ?-paracosymplectic Manifolds
    (Int Electronic Journal Geometry, 2023) Erken, Irem Kupeli; Ozkan, Mustafa; Savur, Busra
    In this paper, we study Cotton solitons on three-dimensional almost alpha-paracosymplectic manifolds. We especially focus on three-dimensional almost alpha-paracosymplectic manifolds with harmonic vector field xi and characterize them for all possible types of operator h. Finally, we construct an example which satisfies our results.
  • Küçük Resim Yok
    Öğe
    Cotton solitons on three dimensional paracontact metric manifolds
    (Univ Nis, Fac Sci Math, 2023) Ozkan, Mustafa; Erken, Irem Kupeli; Murathan, Cengizhan
    In this paper, we study Cotton solitons on three-dimensional paracontact metric manifolds. We especially focus on three-dimensional paracontact metric manifolds with harmonic vector field xi and characterize them for all possible types of operator h. Finally, we constructed an example which satisfies our results.
  • Küçük Resim Yok
    Öğe
    Fischer-Marsden conjecture on K-paracontact manifolds and quasi-para-Sasakian manifolds
    (Ankara Univ, Fac Sci, 2025) Ozkan, Mustafa; Erken, Irem K. U. P. E. L. I.
    The aim of this paper is to study of the non-trivial solutions of Fischer-Marsden conjecture on K-paracontact manifolds and 3-dimensional quasi-para-Sasakian manifolds. We prove that if a semi- Riemannian manifold of dimension 2n + 1 admits a non-trivial solution of Fischer-Marsden equation, then it has constant scalar curvature. We give a comprehensive classification for a (2n + 1)-dimensional K-paracontact manifold which admits a non-trivial solution of Fischer-Marsden equation. We consider 3-dimensional quasi-para-Sasakian manifolds with beta constant which admits Fischer-Marsden equation and prove that there are two possibilities. The first one is the scalar curvature r = -6 beta 2 and M3 is Einstein. The second one is the manifold is paracosymplectic manifold and eta-Einstein.
  • Küçük Resim Yok
    Öğe
    On trans-para-Sasakian manifolds
    (Univ Nis, Fac Sci Math, 2024) Ozkan, Mustafa; Erken, Irem Kupeli; De, Uday Chand
    In this paper, we investigate the geometry of the trans-para-Sasakian manifolds. Finally, an example of a three-dimensional trans-para-Sasakian manifold is constructed to verify the results.