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Document Details
Document Type
:
Thesis
Document Title
:
GEOMETRY OF HEMI-SLANT SUBMANIFOLDS OF ALMOST CONTACT MANIFOLDS
هندسة عديدات الطيات الجزئية من النوع الهيمي المائل لعديدات الطيات المترابطة تقريباً
Subject
:
mathematics department
Document Language
:
Arabic
Abstract
:
The theory of submanifolds as a field of differential geometry is as old as differential geometry itself. The study of submanifolds theory not only plays an important role in many diverse area of differential geometry and relativity (c.f., [15], [27], [28])but also in mechanics [15], and Lie theory approach of submanifolds is also applicable in solution of some partial differential equations. Our aim in present thesis to study hemi-slant submanifolds of almost contact manifolds. In the present thesis we have study the some geometric aspects of hemi-slant submanifolds of Sasakian and trans-Sasakian manifolds. We also study the totally geodesicness of leaves of distributions involved in definition of hemi-slant submanifold and also we see the impact of parallelism of operators T and Q on hemi-slant submnaifolds of Sasakian and trans-Sasakian manifolds. If the distributions are totally geodesic then one can study the warped product of leaves of the distributions. If warped product exist then warping function in this case can emerge as a solution of some partial differential equations, since most of natural phenomenon can be represented by some partial differential equations. That mean the output of present study can be used in different branches of science and engineering.
Supervisor
:
Prof. Falleh R. Al-Solamy
Thesis Type
:
Master Thesis
Publishing Year
:
1433 AH
2012 AD
Co-Supervisor
:
Dr. Reem A. Al-Ghefari
Added Date
:
Wednesday, June 27, 2012
Researchers
Researcher Name (Arabic)
Researcher Name (English)
Researcher Type
Dr Grade
Email
هاجر إبراهيم أبو طقيقة
Abutuqayqah, Hajar Ibrahim
Researcher
Master
Files
File Name
Type
Description
33816.pdf
pdf
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