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 TypeDr GradeEmail
هاجر إبراهيم أبو طقيقةAbutuqayqah, Hajar IbrahimResearcherMaster 

Files

File NameTypeDescription
 33816.pdf pdf 

Back To Researches Page