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
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_325629 |
| Date | January 2006 |
| Contributors | Ho, Wing Yin., Chinese University of Hong Kong Graduate School. Division of Mathematics. |
| Source Sets | The Chinese University of Hong Kong |
| Language | English, Chinese |
| Detected Language | English |
| Type | Text, bibliography |
| Format | print, 68 leaves : ill. ; 30 cm. |
| Rights | Use of this resource is governed by the terms and conditions of the Creative Commons “Attribution-NonCommercial-NoDerivatives 4.0 International” License (http://creativecommons.org/licenses/by-nc-nd/4.0/) |
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