Classification of minimal Lorentzian surfaces in S-2(4) (1) with Constant Gaussian and normal curvatures
Yükleniyor...
Dosyalar
Tarih
2016-12
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Mathematical Society of The Repulic Of China
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper we consider Lorentzian surfaces in the 4-dimensional pseudo Riemannian sphere S-2(4)(1) with index 2 and curvature one. We obtain the complete classification of minimal Lorentzian surfaces S-2(4)(1) whose Gaussian and normal curvatures are constants. We conclude that such surfaces have the Gaussian curvature 1/3 and the absolute value of normal curvature 2/3. We also give some explicit examples.
Açıklama
Anahtar Kelimeler
Curvature, Gaussian curvature, Harmonic maps, Lorentzian surfaces, Minimal submanifolds, Normal curvature, Space-forms, Sphere
Kaynak
Taiwanese Journal of Mathematics
WoS Q Değeri
Q4
Scopus Q Değeri
Q3
Cilt
20
Sayı
6
Künye
Dursun, U. & Turgay, N. C. (2016). Classification of minimal lorentzian surfaces in S2 4 (1) with constant gaussian and normal curvatures. Taiwanese Journal of Mathematics, 20(6), 1295-1311. doi:10.11650/tjm.20.2016.7345
