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Faculty of Sciences
Document Details
Document Type
:
Thesis
Document Title
:
GEOMETRY OF SUBMANIFOLDS OF SـMANIFOLDS
هندسة عديدات الطيات الجزئية لعديد الطيات من النوع S
Subject
:
Mathematics
Document Language
:
Arabic
Abstract
:
The Riemannian manifold theory is the heart of the modern differential geometry since it has many important applications in physics and some other branches of Sciences. Based on the above perspectives, the present thesis focus on the study of CR-submanifold of an S-manifold, which is considered as moderen extensions of Riemannian manifold theory, and also it is very intresting topic for study and research. Since Sasakian manifold is an especial case of an S-manifold, so for background 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 an S-manifold, which is considered as generalizations of the matter mentioned above. Finally we defined CR-submanifold of an S-manifold as M. Kobayashi defined CR-submanifold of a Sasakian manifold. Based on that definition, we studied integrability conditions of distributions, sectional curvature, Ricci tensor and scalar curvature and we obtained many interesting new results related to the mentioned matters
Supervisor
:
Dr. Faleh RjaAllah Alsulami
Thesis Type
:
Master Thesis
Publishing Year
:
1428 AH
2007 AD
Added Date
:
Wednesday, June 11, 2008
Researchers
Researcher Name (Arabic)
Researcher Name (English)
Researcher Type
Dr Grade
Email
عازب زين الغانمي
Al Ghanimi, Aazib Zine
Researcher
Master
Files
File Name
Type
Description
23720.pdf
pdf
المستخلص
23721.pdf
pdf
Abstract
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