Document Details

Document Type : Thesis 
Document Title :
POINTWISE SLANT SUBMANIFOLDS AND THEIR WARPED PRODUCTS
عديدات الطيات الجزئية المائلة النقطية وضروبها الإلتفافية
 
Subject : Faculty of Arts and Humanities 
Document Language : Arabic 
Abstract : Pointwise-slant submanifolds are natural extensions of slant submanifolds. The study of pointwise slant submanifolds was initiated by F. Etayo [37] under the name of quasi-slant submanifolds. Then, B.-Y. Chen and O. J. Garay [28] studied pointwise slant submanifolds of almost Hermitian mani- folds and proved many interesting results. After-wards, several articles appeared on pointwise slant submanifolds in different structures of manifolds (for instance, see [38], [44], [56], [65], [81]). On the other hand, the idea of warped product manifolds appeared in di↵erential 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 [13]. They introduced the notion of warped products to study the manifolds of negative curvature. Then, this study became an active and fruitful field in modern di↵erential geometry. The present thesis focuses the study of pointwise-slant submanifolds and their warped products. We establish the existence and uniqueness theorems for pointwise-slant immersions in complex space forms and Sasakian space forms. Moreover, we introduce the notion of pointwise CR-slant warped products in cosymplectic manifolds. Finally, we present some new results on generic warped product submanifolds in locally product Riemannian manifolds. 
Supervisor : Dr. Siraj Al Din 
Thesis Type : Doctorate Thesis 
Publishing Year : 1443 AH
2022 AD 
Added Date : Saturday, January 28, 2023 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
نوره الحويطيAl-Hwaiti, Noura ResearcherDoctorate 

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