Canal Surface Whose Center Curve is a Hyperbolic Curve with Hyperbolic Frame

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Tarih

2021

Yazarlar

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Dergi ISSN

Cilt Başlığı

Yayıncı

Int Electronic Journal Geometry

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

In this paper, we obtain the parametrization of the canal surfaces whose center curves are the hyperbolic curves on the hyperbolic space H-2 in E-1(3). The parametrization of the canal surface is expressed according to the hyperbolic frame given in [10]. Then, the parallel surface of this surface is studied. Also, we define the notion of the associated canal surface. Lastly, we give the geometric properties of these surfaces such that Weingarten surface, (X, Y)-Weingarten surface and linear Weingarten surface.

Açıklama

Anahtar Kelimeler

Canal surfaces; tubular surfaces; hyperbolic curve; Weingarten surface; (X-Y)-Weingarten surface

Kaynak

International Electronic Journal of Geometry

WoS Q Değeri

N/A

Scopus Q Değeri

Q4

Cilt

14

Sayı

1

Künye