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

Mathematics

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