Canal Surface Around A Spacelike Focal Curve In Lorentz 3-Space

In this paper, we study the tubular surface around a spacelike focal curve in Lorentz 3-Space. First for better understanding of the subject, the definitions and equations of the canal surface around a regular curve in 3-dimensional Euclidean space are given. Section 3, concerned with some important...

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Published inSüleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü dergisi Vol. 22; no. 2; pp. 608 - 614
Main Author YILDIRIM, Abdullah
Format Journal Article
LanguageEnglish
Published 17.07.2018
Subjects
equations
fens
geometry
surfaces
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ISSN1308-6529
1308-6529
DOI10.19113/sdufbed.68167

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Summary:In this paper, we study the tubular surface around a spacelike focal curve in Lorentz 3-Space. First for better understanding of the subject, the definitions and equations of the canal surface around a regular curve in 3-dimensional Euclidean space are given. Section 3, concerned with some important definitions and theorems about focal curves in 3-dimensional Lorentz space. In section 4, we derive equations for canal and tubular surfaces around a spacelike focal curve in 3-dimensional Lorentz. Then we obtain the first and the second fundamental forms on the tubular surfaces in the same space. Gauss and mean curvatures of this surface are obtained. Finally, in this space it is investigated if the parameter curves for the tubular surface are geodesic or asymptotic and related theorems about them are stated and proved.
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ISSN:1308-6529
1308-6529
DOI:10.19113/sdufbed.68167