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Faculty of Sciences
Document Details
Document Type
:
Thesis
Document Title
:
On geometry of CR-Submanifolds of almost Contact Metric Manifolds
حول هندسة عديدات الطيات الجزئية من نوع كوشي ريمان لعديدات الطيات من النوع المتلامس المتري تقريباً
Subject
:
Mathematics
Document Language
:
Arabic
Abstract
:
The Riemannian manifold theory embodies Differential Geometry science. Moreover, It has many important applications in Physics and some other branches of sciences. Based on the above perspectives, the present thesis dealt with CR-submanifold of selected types of almost contact metric manifolds, which are considered as modern extensions of Riemannian manifold theory, and very fruitful fields for study and research. We studied extensively CR-submanifold of Sasakian manifold and discussed integrability conditions of distributions, sectional curvature, Ricci tensor and scalar curvature and their properties. Furthermore, we studied comprehensively some theories and properties of CR-submanifold of trans-Sasakian manifold and nearly trans-Sasakian manifold, which are considered as generalizations of the matter mentioned above. Finally, we studied the sectional curvature of CR-submanifold of Kenmotsu space form and obtained some new results related to its Ricci tensor and scalar curvature
Supervisor
:
Dr. Faleh RjaAllah Alsulami
Thesis Type
:
Master Thesis
Publishing Year
:
1426 AH
2005 AD
Added Date
:
Wednesday, June 11, 2008
Researchers
Researcher Name (Arabic)
Researcher Name (English)
Researcher Type
Dr Grade
Email
أماني حسين سلوم
Salloum, Amani Hussein
Researcher
Master
Files
File Name
Type
Description
23684.pdf
pdf
المستخلص
23687.pdf
pdf
Abstract
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