Document Details

Document Type : Thesis 
Document Title :
GEOMETRY OF BI-WARPED PRODUCT SUBMANIFOLDS
هندسة الضرب الثنائي الالتفافي لعديدات الطيات الجزئية
 
Subject : Faculty of Science 
Document Language : Arabic 
Abstract : The objectives of this thesis is to investigate the existence of certain bi-warped product submanifolds in the setting of nearly Kaehler, locally product Riemannian (l.p.R) and Sasakian manifolds. Bi-warped product submanifolds are natural extensions of warped product submanifolds and Riemannian product manifolds as well. Notice that the bi-warped products are also the generalizations of single warped products but special cases of multiply warped products which were introduced by Nolker [69], Unal [107] and Chen and Dillen [34]. Also, bi-warped submanifolds were appeared in (for instance, see [13], [87]). Recently, Tastan [87] studied bi-warped product submanifolds of Kaehler manifolds. We note that the bi-warped product manifolds were also studied under the name of twice warped products [13]. The curvature properties of bi-warped product manifolds were studied by Gholami et al. in [46]. In this thesis, we obtain many interesting results for bi-warped product submanifolds of nearly Kaehler, locally product Riemannian (l.p.R) and Sasakian manifolds. For instance; various examples are given and inequalities for the squared norm of the second fundamental form are established. Furthermore, we study warped product pointwise pseudo-slant submanifolds of cosymplectic manifolds. We obtain the necessary and sufficient conditions that a pseudo-slant submanifold to be a locally warped product. 
Supervisor : Prof. Siraj Uddin and 
Thesis Type : Doctorate Thesis 
Publishing Year : 1441 AH
2020 AD 
Co-Supervisor : Dr. Azeb Alghanemi 
Added Date : Tuesday, June 2, 2020 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
عواطف محمد الجدعانيAL-Jedani, Awatif MohammedResearcherDoctorate 

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