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 $%
\mathbb{E}_{1}^{3}$. 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, $\left( X,Y\right) $-Weingarten surface and linear Weingarten surface.
Canal surfaces tubular surfaces hyperbolic curve Weingarten surface (X,Y )-Weingarten surface
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Araştırma Makalesi |
Yazarlar | |
Yayımlanma Tarihi | 15 Nisan 2021 |
Kabul Tarihi | 18 Ocak 2021 |
Yayımlandığı Sayı | Yıl 2021 Cilt: 14 Sayı: 1 |