Ruled and Rotational Surfaces Generated by Non-Null Curves with Zero Weighted Curvature in (L3,ax2+by2)(L3,ax2+by2)(\mathbb{L}^{3},ax^{2}+by^{2})

Mustafa ALTIN; Ahmet KAZAN; Hacı Bayram KARADAĞ

doi:https://doi.org/10.36890/iejg.599817

Makale detayları

Ruled and Rotational Surfaces Generated by Non-Null Curves with Zero Weighted Curvature in (L3,ax2+by2)(L3,ax2+by2)(\mathbb{L}^{3},ax^{2}+by^{2})

Yazarlar:

Mustafa ALTIN | Ahmet KAZAN | Hacı Bayram KARADAĞ

Yayıncı:

Kazım İLARSLAN

Ana Başlıklar:

Matematik

Dergi:

International Electronic Journal of Geometry 2020 Vol.13 Issue 2, pp.11-29

Belge Tipi:

Makale

Yayın Tarihi:

10/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000471632

Sıklık:

İki Yıllık

eISSN:

1307-5624

DOI:

https://doi.org/10.36890/iejg.599817

Özet:

 


In this study, firstly we give the weighted curvatures of non-null planar curves in Lorentz-Minkowski space with density e^(ax2+by2) and we obtain the planar curves whose weighted curvatures vanish in this space according to the cases of not all zero constants a and b. After giving the Frenet vectors of the non-null planar curves with zero weighted curvature in Lorentz-Minkowski space with density e^(ax2), we create the Smarandache curves of them. With the aid of these curves and their Smarandache curves, we get the ruled surfaces whose base curves are non-null curves with vanishing weighted curvature and ruling curves are Smarandache curves of them. Followingly, we give some characterizations for these ruled surfaces by obtaining the mean and Gaussian curvatures, distribution parameters and striction curves of them. Also, rotational surfaces which are generated by non-null planar curves with zero weighted curvatures in Lorentz-Minkowski space E^3_1 with density e^(ax2+by2) are studied according to some cases of not all zero constants a and b. We draw the graphics of obtained surfaces.

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Makale detayları

Ruled and Rotational Surfaces Generated by Non-Null Curves with Zero Weighted Curvature in (L3,ax2+by2)(L3,ax2+by2)(\mathbb{L}^{3},ax^{2}+by^{2})

Yazarlar: Mustafa ALTIN | Ahmet KAZAN | Hacı Bayram KARADAĞ

Yayıncı: Kazım İLARSLAN

Ana Başlıklar: Matematik

Dergi: International Electronic Journal of Geometry 2020 Vol.13 Issue 2, pp.11-29

Belge Tipi: Makale

Yayın Tarihi: 10/2020

Belge Dili: İngilizce

Document ID (Org No.): 2000471632

Sıklık: İki Yıllık

eISSN: 1307-5624

DOI: https://doi.org/10.36890/iejg.599817

Sayı

Yazarlar:

Mustafa ALTIN | Ahmet KAZAN | Hacı Bayram KARADAĞ

Yayıncı:

Kazım İLARSLAN

Ana Başlıklar:

Matematik

Dergi:

International Electronic Journal of Geometry 2020 Vol.13 Issue 2, pp.11-29

Belge Tipi:

Makale

Yayın Tarihi:

10/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000471632

Sıklık:

İki Yıllık

eISSN:

1307-5624

DOI:

https://doi.org/10.36890/iejg.599817