SOME CLASSIFICATIONS OF LORENTZIAN SURFACES WITH FINITE TYPE GAUSS MAP IN THE MINKOWSKI 4-SPACE

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Atıf İçin Kopyala

Turgay N. C.

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, cilt.99, sa.3, ss.415-427, 2015 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 99 Sayı: 3
• Basım Tarihi: 2015
• Doi Numarası: 10.1017/s1446788715000208
• Dergi Adı: JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.415-427
• İstanbul Teknik Üniversitesi Adresli: Hayır

Özet

In this paper we study the Lorentzian surfaces with finite type Gauss map in the four-dimensional Minkowski space. First, we obtain the complete classification of minimal surfaces with pointwise 1-type Gauss map. Then, we get a classification of Lorentzian surfaces with nonzero constant mean curvature and of finite type Gauss map. We also give some explicit examples.