Rotational hypersurfaces in Lorentz-Minkowski 4-space

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Tarih

2021

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Hacettepe Üniversitesi

Erişim Hakkı

info:eu-repo/semantics/openAccess

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 E-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 E-1(4) . Also, we give these characterizations for rotational hypersurfaces about timelike and lightlike axes, too.

Açıklama

Anahtar Kelimeler

Rotational hypersurface, Gauss map, Second Laplace-Beltrami operator, Third Laplace-Beltrami operator

Kaynak

Hacettepe Journal of Mathematics & Statistics

WoS Q Değeri

Q3

Scopus Q Değeri

Q3

Cilt

50

Sayı

5

Künye

Altın, M., & Kazan, A. Rotational hypersurfaces in Lorentz-Minkowski 4-space. Hacettepe Journal of Mathematics and Statistics, 50 (5), 1409-1433.