Focal sets of 4-transnormal tori in R4

Other Title(s)

المجموعات البؤرية للعجلات ذوات النقل العمودي من الرتبة الرابعة في R4

Dissertant

al-Sarayirah, Islam Walid Husayn

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

Transnormal tori is a special type of transnormal manifolds in Euclidean spaces.

The normal planes of such mathematical objects have special properties. In this thesis we study the focal sets of 4- transnormal tori in R4 .

We introduce examples of 4- transnormal tori in R4 , then we calculate their focal sets and for 4-transnormal embeddings of tori in R4which are not the usual product embeddings, different behavior is deduced.

Main Subjects

Mathematics

No. of Pages

28

Table of Contents

Table of contents.

Abstract.

Abstract in Arabic.

Chapter One : Introduction.

Chapter Two : Preliminaries.

Chapter Three : Euclidean transnormality.

Chapter Four : Focal sets of transnormal tori In R4.

References.

American Psychological Association (APA)

al-Sarayirah, Islam Walid Husayn. (2012). Focal sets of 4-transnormal tori in R4. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-786090

Modern Language Association (MLA)

al-Sarayirah, Islam Walid Husayn. Focal sets of 4-transnormal tori in R4. (Master's theses Theses and Dissertations Master). Mutah University. (2012).
https://search.emarefa.net/detail/BIM-786090

American Medical Association (AMA)

al-Sarayirah, Islam Walid Husayn. (2012). Focal sets of 4-transnormal tori in R4. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-786090

Language

English

Data Type

Arab Theses

Record ID

BIM-786090