Space curves: Curvature and torsion
This paper deals particularly with the problem in Metric Differential Geometry of proving the existence of a curve with a well defined curvature and torsion. The topic is a preliminary to the Theory of Surfaces which is useful in the fields of physics, surveying and navigation. It discusses theorems...
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| Format: | text |
| Language: | English |
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Animo Repository
1976
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| Subjects: | |
| Online Access: | https://animorepository.dlsu.edu.ph/etd_bachelors/15033 |
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| Institution: | De La Salle University |
| Language: | English |
| Summary: | This paper deals particularly with the problem in Metric Differential Geometry of proving the existence of a curve with a well defined curvature and torsion. The topic is a preliminary to the Theory of Surfaces which is useful in the fields of physics, surveying and navigation. It discusses theorems and proofs such as the following fundamental theorem: Let k(s) 0 and t(s) be defined in I = & s: 0 s r . If k(s) and t(s) are continuous functions on I, then there exists a curve C: r |
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