Classification of minimal Lorentzian surfaces in S-2(4) (1) with Constant Gaussian and normal curvatures

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Tarih

2016-12

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Mathematical Society of The Repulic Of China

Erişim Hakkı

info:eu-repo/semantics/openAccess

Araştırma projeleri

Organizasyon Birimleri

Dergi sayısı

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