On the Differential Geometry of Curves in R3
碩士 === 國立中正大學 === 數學研究所 === 90 === The main contents of this thesis is on space curve. We introduce the basic concepts and symbols in Chapter one, explain the Frenet frame for space curve, and also discuss the properties of curvature and torsion. In Chapter two, we introduce a...
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| Format: | Others |
| Language: | en_US |
| Published: |
2002
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| Online Access: | http://ndltd.ncl.edu.tw/handle/49060306568956884921 |
| Summary: | 碩士 === 國立中正大學 === 數學研究所 === 90 === The main contents of this thesis is on space curve. We introduce the basic concepts and symbols in Chapter one, explain the Frenet frame for space curve, and also discuss the properties of curvature and torsion.
In Chapter two, we introduce a special moving frame other than the Frenet frame. We call it the Relatively Parallel Adapted Frame (RPAF). We compare it with the Frenet frame and find some interesting relations.
In Chapter three, we discuss geodesics on surfaces and introduce the important concepts of geodesic curvature and normal curvature.
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