SPECIAL SURFACES IN R3
Research Journal of Economics, Business and ICT
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Title |
SPECIAL SURFACES IN R3
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Creator |
Kanka, Milos; College of Polytechnics Jihlava
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Subject |
Mathematics
Weingarten Map, first and second fundamental forms, structural equations, Gaussian and Mean curvature. C00 |
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Description |
The principal objects of this paper are regular parametrical surfaces in . The method we want to use is based on Weingarten mapping. We suppose that the mapping , where and , is regular. Symbols and are used in this paper instead of , etc. These vectors form the basis of tangent space (see Fig.1). On we can construct moving frame ( ). Vectors and are tangent vector fields of , is a normal vector field and is a unit normal vector field. In this paper we are going to study Gauss and Mean curvature of some classical surfaces with methods based on Weingarten mapping
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Publisher |
English Time Schools & Overseas Education
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Contributor |
—
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Date |
2012-12-01
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Type |
info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion Peer-reviewed Article |
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Format |
application/pdf
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Identifier |
http://ojs.journals.cz/index.php/RJEBI/article/view/300
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Source |
Research Journal of Economics, Business and ICT; Vol 7 (2012); pp. 16-20
2047-7848 2045-3345 |
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Language |
eng
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Relation |
http://ojs.journals.cz/index.php/RJEBI/article/view/300/302
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Rights |
Copyright (c) 2012 Milos Kanka
https://creativecommons.org/licenses/by/3.0/ |
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