Minimal rotational surfaces in the product space ℚ² ϵ × S¹
Yükleniyor...
Dosyalar
Tarih
2018-07-01
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
World Scientific Publ Co Pte Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this work, we study minimal rotational surfaces in the product space Q(2)epsilon x S-1, where Q(2)epsilon denotes either the unit 2-sphere S-2 or the 2-dimensional hyperbolic space H-2 of constant curvature 1, according to epsilon = 1 or epsilon = 1, respectively. While there is only one kind of rotational surfaces in S-2 x S-1, there are three different possibilities for rotational surfaces in H-2 x S-1, according to the types of the induced inner product on the rotational axis of the surface. We determine the profile curves of all minimal rotational surfaces in Q(2)epsilon x S-1.
Açıklama
Anahtar Kelimeler
Rotational surface, Minimal surface, Product space, Curvature
Kaynak
International Journal of Mathematics
WoS Q Değeri
Q3
Scopus Q Değeri
Q2
Cilt
29
Sayı
8
Künye
Arsan Gürpınar, G. & Dursun, U. (2018). Minimal rotational surfaces in the product space ℚ² ϵ × S¹. International Journal of Mathematics, 29(8), 1-10. doi:10.1142/S0129167X18500519
