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Deanship of Graduate Studies
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 Type
Dr Grade
Email
نوره الحويطي
Al-Hwaiti, Noura
Researcher
Doctorate
Files
File Name
Type
Description
48923.pdf
pdf
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