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Document Details
Document Type
:
Thesis
Document Title
:
GEOMETRY OF SUBMANIFOLDS OF GENERALISED SASAKIAN SPACE FORM
هندسة عديدات الطيّات الجزئية لنموذج فضاء ساساكين المعمّمْ
Subject
:
Mathematics
Document Language
:
Arabic
Abstract
:
In [1] P. Alegre, D. Blair and A. Carriazo introduced and studied the generalized Sasakian space form which is a natural generalization of a Sasakian space form. They gave some examples of these manifolds and proved some basic properties. Recently, R. Al-Ghefari, F. Al-Solamy and M. Shahid [2, 3] studied the CR-submanifolds and contact CR-warped product submanifolds in generalized Sasakian space forms. The aim of this thesis is to give a detailed presentation of some of the most important results in the field. We studied the sectional curvature, Ricci tenssor and scalar curvature of the CR-submanifolds. We also discussed the contact CR-warped product submanifold in Sasakian manifolds, Sasakian space forms, Kenmotsu space form, almost C-? manifold with constant ?-sectional curvature and in generalized Sasakian space forms. Moreover, in the last chapter we have obtained some new results on the semi-slant warped product submanifolds of a generalized Sasakian space form
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
منال متروك الروضان
Alraudhan, Mnal Mtrok
Researcher
Master
Files
File Name
Type
Description
23739.pdf
pdf
المستخلص
23740.pdf
pdf
Abstract
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