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MURATHAN, CENGİZHAN

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MURATHAN

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CENGİZHAN

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2019 - 201912020 - 20212
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Now showing 1 - 3 of 3
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    Publication
    Riemannian warped product submersions
    (Springer, 2021-03-01) Erken, İrem Küpeli; Murathan, Cengizhan; MURATHAN, CENGİZHAN; Bursa Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü; 0000-0002-2273-3243; ABE-8167-2020
    In this paper, we introduce Riemannian warped product submersions and construct examples and give fundamental geometric properties of such submersions. On the other hand, a necessary and sufficient condition for a Riemannian warped product submersion to be totally geodesic, totally umbilic and minimal is given.
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    Publication
    The Chen's first inequality for submanifolds of statistical warped product manifolds
    (Elsevier, 2021-06-27) Siddiqui, Aliya Naaz; Murathan, Cengizhan; Siddiqi, Mohd Danish; MURATHAN, CENGİZHAN; Bursa Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü.; ABE-8167-2020
    The study of warped products plays versatile roles in differential geometry as well as in mathematical physics, especially in general relativity (GR). In the present paper, we study statistical submanifolds in a statistical warped product with some related examples. For such submanifolds, we establish a Chen's first inequality and also discuss the equality case. Finally, we study the statistical warped product immersions and obtain some results.
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    A generalized wintgen inequality for legendrian submanifolds in almost kenmotsu statistical manifolds
    (Int Electronic Journal Geometry, 2019-04-01) Görünüş, Ruken; Erken, İrem Küpeli; Yazla, Aziz; Murathan, Cengizhan; MURATHAN, CENGİZHAN; Bursa Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/ Matematik Bölümü; ABE-8167-2020; ABH-3658-2020
    Main interest of the present paper is to obtain the generalized Wintgen inequality for Legendrian submanifolds in almost Kenmotsu statistical manifolds.