CANAL HYPERSURFACES GENERATED BY NON-NULL CURVES IN LORENTZ-MINKOWSKI 4-SPACE
Küçük Resim Yok
Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Korean Mathematical Soc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the present paper, firstly we obtain the general expression of the canal hypersurfaces that are formed as the envelope of a family of pseudo hyperspheres, pseudo hyperbolic hyperspheres and null hypercones whose centers lie on a non-null curve with non-null Frenet vector fields in E14 and give their some geometric invariants such as unit normal vector fields, Gaussian curvatures, mean curvatures and principal curvatures. Also, we give some results about their flatness and minimality conditions and Weingarten canal hypersurfaces. Also, we obtain these characterizations for tubular hypersurfaces in E-1(4) by taking constant radius function and finally, we construct some examples and visualize them with the aid of Mathematica.
Açıklama
Anahtar Kelimeler
Canal Hypersurface, Tubular Hypersurface, Lorentz-Minkowski 4-Space, Weingarten Hypersurface
Kaynak
Bulletin of the Korean Mathematical Society
WoS Q Değeri
Q3
Scopus Q Değeri
Q3
Cilt
60
Sayı
5
