Rotational Weingarten surfaces in hyperbolic 3-space
Yükleniyor...
Dosyalar
Tarih
2020-04-01
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Birkhauser
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
We study rotational Weingarten surfaces in the hyperbolic space H3(- 1) with the principal curvatures κ and λ satisfying a certain functional relation κ= F(λ) for a given continuous function F. We determine profile curves of such surfaces parameterized in terms of the principal curvature λ. Then we consider some special cases by taking F(λ) = aλ+ b and F(λ) = aλm for particular values of the constants a, b, and m.
Açıklama
Anahtar Kelimeler
Constant vector, Gauss map, Gaussian curvature, Hyperbolic space, Mean curvature, Rotational surface, Surface, Weingarten surface
Kaynak
Journal of Geometry
WoS Q Değeri
N/A
Scopus Q Değeri
Q3
Cilt
111
Sayı
1
Künye
Dursun, U. (2020). Rotational Weingarten surfaces in hyperbolic 3-space. Journal of Geometry, 111(1), 1-12. doi:10.1007/s00022-019-0519-6
