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Normal holonomy along transnormal embeddings of S1 in R 4
Other Title(s)
الهولونومي التعامدي على الانغماسات ذوات النقل العمودي للدائرة S1 في R4
Dissertant
Daraghimah, Abir Nidal Abd al-Karim
Thesis advisor
al-Banawi, Kamal Ata Allah Salih
Comitee Members
al-Kasasibah, Faysal Muhammad
al-Mumani, Shahir Muhammad
Jaradat, Umar Khalid
University
Mutah University
Faculty
Faculty of Science
Department
Department of Mathematics and Statistics
University Country
Jordan
Degree
Master
Degree Date
2012
English Abstract
A transnormal curve in R4 is a generalization of a curve of constant width in R2, which possesses many special properties regarding its differential geometry concepts. In this thesis transnormal curves in R4 are studied using the concept of normal holonomy.
The progress here is in building transnormal curves of different even orders in R4 parallel to a transnormal curve in R4.
Also the generating polytopes of such curves are sketched.
Main Subjects
No. of Pages
30
Table of Contents
Table of contents.
Abstract.
Abstract in Arabic.
Chapter One : Introduction.
Chapter Two : Some differential geometry.
Chapter Three : Euclidean transnormality.
Chapter Four : Transnormal parallel curves in R4.
References.
American Psychological Association (APA)
Daraghimah, Abir Nidal Abd al-Karim. (2012). Normal holonomy along transnormal embeddings of S1 in R 4. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-786073
Modern Language Association (MLA)
Daraghimah, Abir Nidal Abd al-Karim. Normal holonomy along transnormal embeddings of S1 in R 4. (Master's theses Theses and Dissertations Master). Mutah University. (2012).
https://search.emarefa.net/detail/BIM-786073
American Medical Association (AMA)
Daraghimah, Abir Nidal Abd al-Karim. (2012). Normal holonomy along transnormal embeddings of S1 in R 4. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-786073
Language
English
Data Type
Arab Theses
Record ID
BIM-786073