Document Details

Document Type : Thesis 
Document Title :
Geometry of warped product submanifolds of Kenmotsu manifolds
هندسة الضرب الالتفافي لعديدات الطيات الجزئية من عديدات طيات كينمتسو
 
Subject : Faculty of Sciences 
Document Language : Arabic 
Abstract : The warped product manifolds appear in differential geometry from the geometric point of view in a natural way. The study of warped product manifolds was initiated by R. L. Bishop and B. O’Neill [12], they introduced the notion of warped products to study the manifolds of negative curvature. The idea of warped product submanifolds has been introduced by Chen ([32],[33]). After wards, it become an active and fruitful field in modern differential geometry. The study of warped product submanifolds got momentum after Chen’s series papers, and several articles appeared on warped product submanfolds in different structures of manifolds. The present thesis focus the study of warped product submanifolds of Kenmotsu manifolds. We study some geometric aspects of contact CR-warped product sub- manifolds of Kenmotsu manifolds. We also study the warped product semi-slant and warped product pseudo-slant submanifolds of Kenmotsu manifolds. In this thesis, we obtain many interesting results for warped product submani- folds of Kenmotsu manifolds. For instance: various examples of these submanifolds are given, the characterizations and inequalities for the squared norm of the second fundamental form are established. Moreover, we introduce the notion of skew CR-submanifold of order 1 of Ken- motsu manifolds. Finally, we obtain a characterization and establish an inequality between the squared norm of the second fundamental form (an extrinsic invariant) and the warping function ( an intrinsic invariant) for skew CR-submanifold of order 1 in Kenmotsu manifolds in chapter 5. 
Supervisor : Dr. Siraj Uddin 
Thesis Type : Doctorate Thesis 
Publishing Year : 1438 AH
2017 AD 
Added Date : Thursday, June 1, 2017 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
منية فؤاد ناغيNaghi, Monia FouadResearcherDoctorate 

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