Document Details

Document Type : Thesis 
Document Title :
Warped product submanifolds of nearly kaehler manifolds
الضرب الألتفافي لعديد الطيات الجزئية من عديدات الطيات من نوع كيلر التقريبي
 
Subject : Faculty of Sciences > mathematics department 
Document Language : Arabic 
Abstract : The objective of the present study is to investigate the existence of certain warped product submanifolds in the setting of Kaehler and nearly Kaehler manifolds. The notion of warped product submanifolds as submanifolds of Kaehler manifolds was introduced by B. Y. Chen [17]. He showed that the warped product CR-submanifolds are trivial in Kaehler manifolds. However, the CR-warped product submanifolds (obtained by reversing the two factors) are non-trivial. Various examples of these warped product submanifolds are provided and some fundamental geometric properties of these submanifolds are obtained in [17]. His finding have been presented in Chapter 2. For the sake of completeness and as a prelude to the study of CR-warped product submanifolds, an account of the important geometric features of CR-submanifolds of nearly Kaehler manifolds [1] is given in Chapter 3. B. Sahin [33] explored a more general class of warped product submanifolds, namely semi-slant submanifolds as warped product submanifolds of a Kaehler manifold. He provides in [33] that the only non-trivial semi-slant warped product submanifolds of Kaehler manifolds are CR-warped product submanifolds. V. A. Khan and K. A. Khan [28] further extended the study by investigating the generic warped product submanifold of nearly Kaehler manifolds. Many interesting geometric proporties of these submanifolds are obtained in [36], and [33]. Some relevant results of these studyied are presented in Chapter 4. Motivated by the study, the Auther has studied warped product hemi-slant submanifolds of nearly Kaehler manifolds and some basic results for these warped product submanifolds. Moreover, an inequality for the squared norm of the second fundamental form is established by the auther. 
Supervisor : Prof. Falleh al-solamy 
Thesis Type : Master Thesis 
Publishing Year : 1436 AH
2015 AD 
Co-Supervisor : Dr. Reem al-ghefari 
Added Date : Monday, May 4, 2015 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
هنادي حسين الحارثيal-harthy, Hanadi HussainResearcherMaster 

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