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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Main Author: Velez, Ma. Milagros A.
Format: text
Language:English
Published: Animo Repository 1976
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Online Access:https://animorepository.dlsu.edu.ph/etd_bachelors/15033
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Institution: De La Salle University
Language: English
id oai:animorepository.dlsu.edu.ph:etd_bachelors-15546
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spelling oai:animorepository.dlsu.edu.ph:etd_bachelors-155462021-11-20T09:54:20Z Space curves: Curvature and torsion Velez, Ma. Milagros A. 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 1976-01-01T08:00:00Z text https://animorepository.dlsu.edu.ph/etd_bachelors/15033 Bachelor's Theses English Animo Repository Calculus
institution De La Salle University
building De La Salle University Library
continent Asia
country Philippines
Philippines
content_provider De La Salle University Library
collection DLSU Institutional Repository
language English
topic Calculus
spellingShingle Calculus
Velez, Ma. Milagros A.
Space curves: Curvature and torsion
description 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
format text
author Velez, Ma. Milagros A.
author_facet Velez, Ma. Milagros A.
author_sort Velez, Ma. Milagros A.
title Space curves: Curvature and torsion
title_short Space curves: Curvature and torsion
title_full Space curves: Curvature and torsion
title_fullStr Space curves: Curvature and torsion
title_full_unstemmed Space curves: Curvature and torsion
title_sort space curves: curvature and torsion
publisher Animo Repository
publishDate 1976
url https://animorepository.dlsu.edu.ph/etd_bachelors/15033
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