Tangent and normal bundles of differentiable manifolds
Other Title(s)
أهداب المماس و العمودي على المماس لمتعددة الطيات القابلة للاشتقاق
Dissertant
Thesis advisor
al-Banawi, Kamal Ata Allah Salih
Comitee Members
al-Butush, Ratib Hamid
al-Nawafilah, Khalid Isa
Jaradat, Umar Khalid
University
Mutah University
Faculty
Faculty of Science
Department
Department of Mathematics and Statistics
University Country
Jordan
Degree
Master
Degree Date
2015
English Abstract
Differentiable manifolds are mathematical objects that are locally homemorphic to Euclidean spaces.
A type of interest is transnormal manifolds which own a special scene of tangent and normal bundles.
A transnormal manifold is a Hausdorff second countable topological space with agreement between opposite normal planes.
In this thesis, differentiable manifolds are introduced, transnormal manifolds are discussed, and their bundles are interrogated.
The most important idea in this thesis is building an example of a transnormal partial tube whose base is not transnormal.
Main Subjects
No. of Pages
53
Table of Contents
Table of contents.
Abstract.
Abstract in Arabic.
Chapter One : Introduction.
Chapter Two : Preliminaries.
Chapter Three : Euclidean transnormality.
Chapter Four : Transnormal spherical partial tubes.
References.
American Psychological Association (APA)
al-Sarayirah, Ali Awad. (2015). Tangent and normal bundles of differentiable manifolds. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-656085
Modern Language Association (MLA)
al-Sarayirah, Ali Awad. Tangent and normal bundles of differentiable manifolds. (Master's theses Theses and Dissertations Master). Mutah University. (2015).
https://search.emarefa.net/detail/BIM-656085
American Medical Association (AMA)
al-Sarayirah, Ali Awad. (2015). Tangent and normal bundles of differentiable manifolds. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-656085
Language
English
Data Type
Arab Theses
Record ID
BIM-656085
