On the tubular surfaces in E3

In this study, we obtain surface at a constant distance from the edge of regression on a tubular surface indicated by M^{f}, condition that M is denoted by a tubular surface in E^{3}. First of all, we show that M^{f} is a tubular surface, for lambda _{1}=0. Then, we calculate curvatures of M^{f}...

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Bibliographic Details
Main Authors:	Ali ÇAKMAK, Ömer TARAKÇI
Format:	Article
Language:	English
Published:	BİSKA Bilisim Company 2017-01-01
Series:	New Trends in Mathematical Sciences
Subjects:	Surface at a constant distance from the edge of regression on a surface Tubular surfaces Geodesic curve Asymptotic curve Line of curvature.
Online Access:	https://ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8235

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spelling	doaj-46311ea193d74cc48f3a73c0caf2ef032020-11-24T21:47:23ZengBİSKA Bilisim CompanyNew Trends in Mathematical Sciences2147-55202147-55202017-01-0151405010.20852/ntmsci.2017.1248235On the tubular surfaces in E3Ali ÇAKMAK0Ömer TARAKÇI1Bitlis Eren Üniversitesi Ataturk UniversityIn this study, we obtain surface at a constant distance from the edge of regression on a tubular surface indicated by M^{f}, condition that M is denoted by a tubular surface in E^{3}. First of all, we show that M^{f} is a tubular surface, for lambda _{1}=0. Then, we calculate curvatures of M^{f} and find some relationships between curvatures of surfaces M and M^{f}. Besides, we research center curve of the tubular surfaces for some special cases.https://ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8235Surface at a constant distance from the edge of regression on a surfaceTubular surfacesGeodesic curveAsymptotic curveLine of curvature.
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Ali ÇAKMAK Ömer TARAKÇI
spellingShingle	Ali ÇAKMAK Ömer TARAKÇI On the tubular surfaces in E3 New Trends in Mathematical Sciences Surface at a constant distance from the edge of regression on a surface Tubular surfaces Geodesic curve Asymptotic curve Line of curvature.
author_facet	Ali ÇAKMAK Ömer TARAKÇI
author_sort	Ali ÇAKMAK
title	On the tubular surfaces in E3
title_short	On the tubular surfaces in E3
title_full	On the tubular surfaces in E3
title_fullStr	On the tubular surfaces in E3
title_full_unstemmed	On the tubular surfaces in E3
title_sort	on the tubular surfaces in e3
publisher	BİSKA Bilisim Company
series	New Trends in Mathematical Sciences
issn	2147-5520 2147-5520
publishDate	2017-01-01
description	In this study, we obtain surface at a constant distance from the edge of regression on a tubular surface indicated by M^{f}, condition that M is denoted by a tubular surface in E^{3}. First of all, we show that M^{f} is a tubular surface, for lambda _{1}=0. Then, we calculate curvatures of M^{f} and find some relationships between curvatures of surfaces M and M^{f}. Besides, we research center curve of the tubular surfaces for some special cases.
topic	Surface at a constant distance from the edge of regression on a surface Tubular surfaces Geodesic curve Asymptotic curve Line of curvature.
url	https://ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8235
work_keys_str_mv	AT alicakmak onthetubularsurfacesine3 AT omertarakci onthetubularsurfacesine3
_version_	1725897399497392128

On the tubular surfaces in E3

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