On thickness of knots and its properties.

• Other Authors: Ho, Wing Yin.
• Format: Others
• Language: English; Chinese
• Published: 2006
• Subjects: Knot theory
• Online Access: http://library.cuhk.edu.hk/record=b5893010; http://repository.lib.cuhk.edu.hk/en/item/cuhk-325629

Ho Wing Yin. === Thesis (M.Phil.)--Chinese University of Hong Kong, 2006. === Includes bibliographical references (leaves 67-68). === Abstracts in English and Chinese. === Chapter 0 --- Introduction --- p.5 === Chapter 1 --- Basics of Differential Topology and Knot Theory --- p.7 === Chapter 1.1 --- Elementary Differential Topology --- p.7 === Chapter 1.2 --- Elementary Knot Theory --- p.13 === Chapter 1.2.1 --- Basic Definition --- p.13 === Chapter 1.2.2 --- Regular Projection --- p.14 === Chapter 1.2.3 --- Classical Knot Invariants --- p.15 === Chapter 2 --- Thickness of Knots --- p.17 === Chapter 2.1 --- Thickness and its Curvature --- p.17 === Chapter 2.2 --- Consequences of the Main Theorem --- p.27 === Chapter 2.3 --- Polygonal Representation of Knot --- p.30 === Chapter 2.4 --- Self-distance and Main Theorem --- p.35 === Chapter 3 --- Energy --- p.37 === Chapter 3.1 --- Normal Energy and Symmetric Energy --- p.37 === Chapter 3.2 --- Mobius Energy --- p.48 === Chapter 3.3 --- Another Formulation of Mobius Energy --- p.57 === Chapter 3.4 --- A Non Self-Repulsive Energy Function --- p.62 === Bibliography --- p.67