Rotational hypersurfaces in Lorentz-Minkowski 4-space

Mustafa ALTIN; Ahmet KAZAN

doi:https://doi.org/10.15672/hujms.826596

Makale detayları

Rotational hypersurfaces in Lorentz-Minkowski 4-space

Yazarlar:

Mustafa ALTIN | Ahmet KAZAN

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2021 Vol.50 Issue 5, pp.1409-1433

Belge Tipi:

Makale

Yayın Tarihi:

10/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000450501

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

DOI:

https://doi.org/10.15672/hujms.826596

Özet:

 

In this study, we study rotational hypersurfaces in 4-dimensional Lorentz-Minkowski space. We find the rotational hypersurfaces about spacelike axis according to Gaussian and mean curvatures in E41E14E_{1}^{4} and give some results with the aid of the Gaussian and mean curvatures. After that, we deal with the Gauss map of rotational hypersurface about spacelike axis by obtaining the Gaussian and mean curvatures. We obtain the second and third Laplace-Beltrami operators on rotational hypersurface about spacelike axis in E41E14E_{1}^{4}. Also, we give these characterizations for rotational hypersurfaces about timelike and lightlike axes, too.

Makale detayları

Rotational hypersurfaces in Lorentz-Minkowski 4-space

Yazarlar: Mustafa ALTIN | Ahmet KAZAN

Yayıncı: Hacettepe University

Ana Başlıklar: Matematik

Dergi: Hacettepe Journal of Mathematics and Statistics 2021 Vol.50 Issue 5, pp.1409-1433

Belge Tipi: Makale

Yayın Tarihi: 10/2021

Belge Dili: İngilizce

Document ID (Org No.): 2000450501

Sıklık: İki Aylık

eISSN: 2651-477X

pISSN: 2651-477X

DOI: https://doi.org/10.15672/hujms.826596

Sayı

Yazarlar:

Mustafa ALTIN | Ahmet KAZAN

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2021 Vol.50 Issue 5, pp.1409-1433

Belge Tipi:

Makale

Yayın Tarihi:

10/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000450501

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

DOI:

https://doi.org/10.15672/hujms.826596